Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed.

Slides:



Advertisements
Similar presentations
Multiplying by 10, 100 or 1000 x 100 = x 100 = x 100 = x 100 = x 100 = x 100 = C.
Advertisements

Reading Powers EXAMPLE 1 Power Repeated MultiplicationDescription in Words y5y y y y y y 4 to the second power, or 4 squared 9 to the.
and $7.25 for refreshments. Find the total cost. MOVIES
Exponents 2626 Base Exponent The exponent is sometimes referred to as the power. Take notes in your spiral – 2 nd section This would be called 2 to the.
EXAMPLE 4 Standardized Test Practice SOLUTION STEP 1 Convert meters to centimeters by multiplying by = 32,250, so m = 32,250.
EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions.
TELEPHONE NUMBER TELEPHONE NUMBER
By:Lili Exponential notation is useful in situations where the same number is multiplied repeatedly. The number being multiplied is the base and the.
Algebra 1c 1-3 Exponential Notation Objective (things to learn): How to solve problems containing exponents. First we will start off with learning the.
EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
Bell Work: ½ is a member of what subsets of real numbers?
EXAMPLE 1 Multiplying Decimals by Whole Numbers Find the product
EXAMPLE 2 Solve a matrix equation SOLUTION Begin by finding the inverse of A = Solve the matrix equation AX = B for the 2 × 2 matrix X. 2 –7 –1.
Write decimal as percent. Divide each side by 136. Substitute 51 for a and 136 for b. Write percent equation. Find a percent using the percent equation.
Powers and Exponents Objective: Learn to use powers and exponents.
EXAMPLE 4 Graph a translated square root function Graph y = –2 x – Then state the domain and range. SOLUTION STEP 1 Sketch the graph of y = –2 x.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 2 Identifying Equivalent Fractions
Evaluating a Permutation
Expressions and Equations Powers and Exponents Materials: pencil, journal, glue, highlighter CCSS6.EE.1 Write and evaluate numerical expressions involving.
EXAMPLE 1 Finding the Greatest Common Factor Find the greatest common factor of 56 and 84. SOLUTION STEP 1 Write the prime factorization of each number.
EXAMPLE 2 Rationalize denominators of fractions Simplify
EXAMPLE 1 Multiply a monomial and a polynomial Find the product 2x 3 (x 3 + 3x 2 – 2x + 5). 2x 3 (x 3 + 3x 2 – 2x + 5) Write product. = 2x 3 (x 3 ) + 2x.
1 Math Powers and Exponents. 2 What Are You Learning? I CAN write powers as a product of the same factor. I CAN write products in exponential form. I.
Warm Up #10 Multiply the polynomial. 1. (x + 2)(x + 3)(x + 1)
CAR SALES Solve a real-world problem EXAMPLE 3 A car dealership sold 78 new cars and 67 used cars this year. The number of new cars sold by the dealership.
Example 1 Dividing a Fraction by a Fraction ÷ a. = • 6
Write the radical expression in simplest form.
Equivalent ANSWER 2, 3 ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement In the fraction, is the numerator and is the.
Square Root The square root of a nonnegative number is a number that, when multiplied by itself, is equal to that nonnegative number. Square roots have.
Saturday, 09 September 2006 ©RSH Number Square and Cube Numbers.
1.1 Evaluate Expressions You will evaluate algebraic expressions and use exponents Essential Question: How do you evaluate algebraic expressions and powers?
HW: 6.2 Practice Worksheet. EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format.
Polynomial Terms and Operations. EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical.
SOLUTION EXAMPLE 2 Divide a polynomial by a binomial Divide x 2 + 2x – 3 by x – 1. STEP 1 Divide the first term of x 2 + 2x – 3 by the first term of x.
EXAMPLE 3 Multiply polynomials vertically and horizontally a. Multiply – 2y 2 + 3y – 6 and y – 2 in a vertical format. b. Multiply x + 3 and 3x 2 – 2x.
Graph and on a number line. Then copy and complete the statement with, or Example 2 Comparing Real Numbers 1 ? = SOLUTION Use a calculator.
Divide a polynomial by a binomial
Powers and roots. Square each number a) 7 b) 12 c) 20 d) 9 e) 40 a) 49 b) 144 c) 400 d) 81 e) 1600.
EXAMPLE 1 Find the probability of A or B
EXAMPLE 3 Standardized Test Practice A = lw 63 = 9w 63 = = w Write area formula. Substitute values. Divide each side by 9. Simplify. ANSWERThe.
6.4 Solving Polynomial Equations. One of the topics in this section is finding the cube or cube root of a number. A cubed number is the solution when.
EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.
EXAMPLE 2 Evaluate an expression Movies The total cost of seeing a movie at a theater can be represented by the expression a + r where a is the cost (in.
Example 1 Writing Powers Write the product as a power and describe it in words. a. 44= to the second power, or 4 squared 9 to the third power,
Volume of Cones & Spheres
EXAMPLE 2 Use a permutations formula Your band has written 12 songs and plans to record 9 of them for a CD. In how many ways can you arrange the songs.
WARM UP OPERATIONS WITH DECIMALS Find the value of the expression – (50) 3.
ANSWERS!. Completing the Square Level 1 Answers Completing the Square Level 2 Answers.
SQUARED & CUBED ROOTS. WARM-UP ANSWERS TO WARM-UP.
1.1 Evaluate Expressions Objective: To be able to evaluate algebraic expressions and use exponents
EXAMPLE Ordering Real Numbers Order the numbers 0.47, 0.474, 0.47, and 0.23 from least to greatest. SOLUTION STEP 1 Write each decimal out to six.
Solve a multi-step problem EXAMPLE 5 Forestry Use the diagram, which illustrates the growth of a giant sequoia, to find the average rate of change in the.
EXAMPLE 1 Evaluate recursive rules Write the first six terms of the sequence. a. a 0 = 1, a n = a n – b. a 1 = 1, a n = 3a n – 1 SOLUTION a. a 0.
EXAMPLE 3 Multiply polynomials vertically and horizontally a. Multiply –2y 2 + 3y – 6 and y – 2 in a vertical format. b. Multiply x + 3 and 3x 2 – 2x +
Activity based around:
EXAMPLE 1 Finding Area and Perimeter of a Triangle
Solve an equation by multiplying by a reciprocal
Square and Cube Numbers
[ ] [ ] [ ] [ ] EXAMPLE 3 Scalar multiplication Simplify the product:
Translating Expressions
FACTORING SUMS and DIFFERENCES of CUBES
Objective: Learn to use powers and exponents.
Evaluate Expressions Warm Up Lesson Presentation Lesson Quiz.
Сабақ тақырыбы: Теңдеу.
X values y values. x values y values Domain Range.

Jeopardy.
EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16
Presentation transcript:

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. Write 5 as a factor three times.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. Write 5 as a factor three times.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. Write 5 as a factor three times. Multiply.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. b. Find the value of two to the sixth power. Write 5 as a factor three times. Multiply.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. b. Find the value of two to the sixth power. Write 5 as a factor three times. Multiply.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. b. Find the value of two to the sixth power. Write 2 as a factor six times. Write 5 as a factor three times. Multiply.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. b. Find the value of two to the sixth power. Write 2 as a factor six times. Write 5 as a factor three times. Multiply.

Finding the Value of a Power EXAMPLE 2 a. Find the value of five cubed. Write 5 as a factor three times. Multiply. b. Find the value of two to the sixth power. Write 2 as a factor six times. Multiply.

Powers in Real-World Problems EXAMPLE 3 Telephone Calls You need to contact members of your softball league. You call 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening?

Powers in Real-World Problems EXAMPLE 3 Telephone Calls You need to contact members of your softball league. You call 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening? SOLUTION

Powers in Real-World Problems EXAMPLE 3 Telephone Calls You need to contact members of your softball league. You call 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening? SOLUTION You call 4 people They each call 4 people

Powers in Real-World Problems EXAMPLE 3 Telephone Calls You need to contact members of your softball league. You call 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening? SOLUTION You call 4 people They each call 4 people

Powers in Real-World Problems EXAMPLE 3 Telephone Calls You need to contact members of your softball league. You call 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening? SOLUTION ANSWER That evening, 64 people are called. You call 4 people They each call 4 people

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power squared

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power squared

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 to the sixth power squared

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 What If? Suppose each person in Example 3 (including you) calls 6 people instead of 4 people. How many people are called that evening?

Write the power as a product. Then find the value. GUIDED PRACTICE for Examples 2 and 3 What If? Suppose each person in Example 3 (including you) calls 6 people instead of 4 people. How many people are called that evening? SOLUTION ANSWER That evening 216 people are called