Exponents and Rules

When multiplying two powers with the same base, _____ their exponents. 

• Add

• Subtract

• Multiply

• Divide

• Square

When dividing two powers with the same base, _____ their exponents.

• Add

• Subtract

• Multiply

• Divide

• Square

When using the power to a power rule, _____ the exponents.

• Add

• Subtract

• Multiply

• Divide

• Square

When rewriting a negative exponent, take the reciprocal (flip) and make the exponent ______.

• Positive

• Negative

• 0

• 1

Anything to the power of 0 is _____

• 1

• 0

• Itself

• Undefined

Anything to the power of 1 is equal to ________

• 1

• 0

• Itself

• Undefined

When multiplying two powers with the same base, use the ______ Rule to simplify.

• Product

• Power to a Power

• Quotient

• Negative Exponent

When dividing two powers with the same base, use the ______ Rule to simplify.

• Product

• Power to a Power

• Quotient

• Negative Exponent

 $5^2\cdot5^7$  

•  $5^5$  

•  $5^{-5}$  

•  $5^9$  

•  $5^{-9}$  

 $3x^2\cdot2x^3$  

•  $5x^5$  

•  $5x^6$  

•  $6x^6$  

•  $6x^5$