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Properties of Exponents
To multiply terms with the same base, add the exponents.Product of Powers To multiply terms with the same base, add the exponents. Example: 73 x 78 = 73+8 = 711
To divide terms with the same base, subtract the exponents.Quotient of Powers To divide terms with the same base, subtract the exponents. Example: 108 = = 105 103
To raise a power to a power, multiply the exponents.Power of Powers To raise a power to a power, multiply the exponents. Example: (52)6 = 52x6 = 512
Power of a Product Example:To multiply terms with different bases raised to the same power, multiply first and raise the product to the given power. Example: 23 x 33 = (2 x 3)3 = 63
( ) Power of a Quotient = = Example:To divide terms with different bases raised to the same power, raise both numerator and denominator to the power. Example: ( ) 4 16 2 42 = = 92 81 9
Raising a base (other than zero) to the zero power equals one.Zero Exponents Raising a base (other than zero) to the zero power equals one. Example: 1000 = 1
Negative Exponents Example:Raising a base to a negative power equals the reciprocal of the base raised to the absolute value of the power. Example: 1 4-9 = 49
Bell Ringer/ FlashbackComplete the following table. (NO CALCULATOR) Exponential Form Expanded Form Standard Form 53 7 x 7 x 7 x 7 36 2 x 2 x 2 x 2 x 2 x 2
Assignment Using what you know about Product of Powers,solve the expressions on your practice sheet.
Exponents exponent power base.
Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.
The Laws of Exponents Animated floating petals (Difficult)
Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.
The Laws of Exponents.
Exponents and Scientific Notation
OBJECTIVE: The students will simplify expressions by using the laws of exponents.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –
Exponents Power base exponent means 3 factors of 5 or 5 x 5 x 5.
Basic Terminology BASE EXPONENT means. IMPORTANT EXAMPLES.
Dividing Monomials Chapter 8-2 S. Calahan To divide two powers that have the same base, subtract the exponents. b 15 ÷ b 7 = b 15-7 = b 8 Quotient.
WORDS ZERO PRODUCT PROPERTY: A base raised to the power of 0 is equal to 1 NEGATIVE EXPONENT PROPERTY: A negative exponent of a number is equal to the.
Do Now: Solve for x in the following equation: Hint: and.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.
Exponents. What number is being multiplied over and over again? How many times is 5 used as a factor?
PROPERTIES OF EXPONENTS
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