Power Rules Simplify (7p5)3. (7p5)3 = 73(p5)3

Slides:

Advertisements

Similar presentations

Name:_______________ UNIT 2 TEST (Review / Reteach) DIRECTIONS: Simplify each term. Circle final answers x 3+7 5x x

Advertisements

Vocabulary Chapter 7. For every nonzero number a, a⁰ =

Algebra 1c 1-3 Exponential Notation Objective (things to learn): How to solve problems containing exponents. First we will start off with learning the.

Exponents and Scientific Notation

Rules of Exponents In this lesson, you will be able to simplify expressions involving zero and negative exponents.

Lesson 4-8 Example Example 3 What is the volume of the triangular prism? 1.Use the Pythagorean Theorem to find the leg of the base of the prism.

GeometryGeometry Lesson 75 Writing the Equation of Circles.

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

7.3 Multiplication Properties of Exponents

Multiplying and Dividing in Scientific Notation

Operations with Scientific Notation

 To add numbers in scientific notation: 1) Add the constants 2) Keep the exponent the same  Example: (2.1 x 10 5 ) + (3.2 x 10 5 ) = ( ) x 10.

Bell Quiz. Objectives Review how to write large and small numbers in scientific notation. Multiply and divide numbers written in scientific notation by.

Circumferences and Areas of Circles COURSE 3 LESSON 8-8 The diameter of a small pizza is 24 cm. Find its area. Round to the nearest tenth. A = r 2 Use.

Lesson 6-4 Example Example 3 Determine if the triangle is a right triangle using Pythagorean Theorem. 1.Determine which side is the largest.

Vocabulary, Missing Exponents Negative and Zero Rules

Exponents and Their Properties Section 5.1. Overview Multiplying Powers with Like Bases Dividing Powers with Like Bases Zero as an Exponent Raising a.

Lesson 8.1 Apply Exponent Properties Involving Products After today’s lesson, you should be able to use properties of exponents involving products to simplify.

Simplify each expression x 5 3x –2 3.(–2w –2 )(–3w 2 b –2 )(–5b –3 ) x 3 30 b 5 –

EXPONENTS Definition Negative Exponents Multiplication of Exponents Dividing Exponents Raising Exponents Add & subtract Exponents Base of 10 rule Scientific.

Evaluate numerical expressions

2-6 Exponents Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Jeopardy Functions Review. Solve equations 100 ANSWER.

Integer Exponents 8 th Grade. Simplify Negative Exponents.

Power Rule for Exponents The Power Rule for Exponents is used when we raise a power to an exponent. Example 1: Simplify the following.

Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex is the base.

1. 3. ANSWER 2. ANSWER Most Missed on Quiz Write the number in scientific notation. Write the number in standard Form. 4 ANSWER.

EXAMPLE 3 Write the standard equation of a circle The point (–5, 6) is on a circle with center (–1, 3). Write the standard equation of the circle. SOLUTION.

Exponent Rules and Multiplying Monomials Multiply monomials. 2.Multiply numbers in scientific notation. 3.Simplify a monomial raised to a power.

More Multiplication Properties of Exponents

Thinking Mathematically Number Theory and the Real Number System 5.6 Exponents and Scientific Notation.

Algebraic Fractions  Know your rules  Anything raised to the 0 power = 1  Negative exponents can be moved to the opposite and made positive (that is,

Exponents Lesson 4-2.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Scientific Notation Multiplication.

 Exponents MUST BE THE SAME before you can add/subtract 2 numbers written in scientific notation.  Example 1: 7.35 x 10 2 m x 10 2 m = ? › Are.

8.3 – Multiplying Exponents

AREA OF A CIRCLE Lesson Parts of a Circle Finding the Area Area means the amount of space covered. The symbol is called pi and is approximately.

ALGEBRA READINESS LESSON 10-2 Warm Up Lesson 10-2 Warm-Up.

Scientific Notation. Writing Scientific Notation Writing 1.A number between 0 and 10.

Move the decimal point to get a factor greater than 1 but less than 10.. The mean distance from Mars to the sun is about 141,750,000 mi. Write this number.

Unit 2: Exponents Review. What is on the test??? 1.Exponent Rules 2.Perfect Squares 3.Square Roots / Cube Roots 4.Estimating Non-Perfect Squares 5.Scientific.

Integers and Absolute Value COURSE 3 LESSON 1-3 Graph the points 2, –3, and 1 on a number line. 1-3.

ALGEBRA 1 Lesson 7-3 Warm-Up. ALGEBRA 1 “Multiplication Properties of Exponents” (7-3) How do you multiply numbers with the same base? How do you multiply.

Change to scientific notation: A. B. C. 289,800, x x x

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. SOLUTION The radius is 3 and the center is at the origin. x 2 + y 2 = r.

Find the product (3  10 3 ) (7  10 5 ). Write the result in scientific notation. Exponents and Multiplication COURSE 3 LESSON 7-2 (3  10 3 ) (7  10.

Scientific Notation. What is Scientific Notation? Scientific notation is a way of writing extremely large or small measurements. The number is written.

LESSON 4-7 EXPONENTS & MULTIPLYING. When we multiply terms with exponents  ADD exponents of like variables.

Simplify 2 3 (9 – 3) 2. COURSE 2 LESSON (9 – 3) 2 = Do operations in parentheses. = 8 36Find the values of the powers. = 288Multiply. 3-1.

Multiplying with exponents

Chapter 1, Lesson 1A Pages 25-28

SCIENTIFIC NOTATION.

Unit 2 Lesson 4 Learn Properties of Exponents

Adding Numbers in Scientific Notation

Multiplying and Dividing Powers

Lesson 6.9: Scientific Notation

Scientific Notation CP Chemistry.

Exponents & Scientific Notation Test Corrections

Chapter Ten Exponents and Scientific Notation

Finding a Percent of a Number

Evaluate when A.) 18 B.) 243 C.) 729 C.) 729 D.) 27 L F.

Multiplying and Dividing in Scientific Notation

Multiplying and Dividing in Scientific Notation

Finding a Percent of a Number

7-4 Division Properties of Exponents

Warm Up Multiply 15 x x x 10, x x x Solution 15, ,

Chapter Ten Exponents and Scientific Notation

Chapter 7 Vocabulary (7-4)

Simplify the following

Presentation transcript:

Power Rules Simplify (7p5)3. (7p5)3 = 73(p5)3 COURSE 3 LESSON 7-4 Power Rules Simplify (7p5)3. (7p5)3 = 73(p5)3 Raise each factor to the third power. = 73p15 = 343p15 Multiply the exponents. Simplify. 7-4

COURSE 3 LESSON 7-4 Power Rules Use the formula for the area of a circle, A = r2, to find the area of a circle with a radius of 4  10–2 m. Write the answer in scientific notation. Use 3.14 for the value of . A = r2 = 3.14 • (4  10–2)2 Substitute 4  10–2 for r. = 3.14 • 42  (10–2)2 Raise the product to a power. = 3.14 • 16  10–4 Raise 10–2 to the second power. = 50.24  10–4 Multiply 3.14 and 16. = 5.024  10–3 Write in scientific notation. The area of the circle is about 5.024  10–3 m2. 7-4

Power Rules 1. Write (9–3)8 using a single exponent. 9–24 COURSE 3 LESSON 7-4 Power Rules 1. Write (9–3)8 using a single exponent. 2. Simplify (2a6)3. 3. Find the area of a circle whose radius is 5  10–7 m. Use 3.14 for . 9–24 8a18 7.85  10–13 m2 7-4