Product and Quotient Property for Exponents

The ​ (a)   states that to divide two powers with the same base, keep the common base and subtract the exponents.

• Quotient of Powers Property

• Power of Products Property

• Power of Powers Property

• Negative Exponent Property

• Zero Exponent Property

Tags

CCSS.8.EE.A.1

Multiply two powers with the same base, keep the common base and add the exponents.

• Product of Powers Property

• Power of Products Property

• Power of Powers Property

• Quotient of Powers Property

• Negative Exponent Property

Tags

CCSS.8.EE.A.1

Match the following exponent rules.

• For any nonzero number, a^0 = 1

• Power of Products Property

• keep the base, subtract the exponents

• Power of Powers Property

• For every nonzero number, a^-n = 1/a^n

• Quotient of Powers Property

• Multiply the bases and keep the exponent

• Negative Exponent Property

• keep the base and multiply the exponents

• Zero Exponent Property

Tags

CCSS.8.EE.A.1

When multiplying items that have the same base, keep the base and add the exponents

• Product Property

• Quotient Property

• Power of Products Property

• Power Property

• A

• B

• C

• D

• A

• B

• C

• D

Evaluate the expression using the Same Base, Division rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

• a⁶

• a^-60

• a⁴

• a^-7

True or False?

• True

• False