Law of Exponents

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: 2⁶ ⋅ 2⁴

• add

• subtract

• multiply

• divide

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide two powers with the same base we _______ the exponents.

Example: 6⁸ / 6³

• add

• subtract

• multiply

• divide

(2⁸)^-2

• 2^-16

• 2¹⁰

• 2¹⁶

• 2⁴

Find the missing exponent.

Mathematical Equivalence

OFF

• keep the base, add the exponents

• keep the base, subtract the exponents

• keep the base, multiply the exponents

• add the base, add the exponents

• 256

• 1024

• 64

• 512

Match the following.

• Add the exponents

• Multiply the exponents

• Subtract the exponents

Match the following Law to their directions

• Keep the base, multiply the exponents

• Power of a Power

• Flip the base, change the sign of the exponents

• Negative Exponent

• Keep the base, subtract the exponents

• Product of Powers

• Keep the base, add the exponents

• Quotient of Powers

• Simplifies to 1

• Zero Exponent

What is the correct law for powers of powers? (a^m)ⁿ =

• a^mxn

• a^m+n

• a^m x aⁿ

• a^men