Properties of Exponents with Variables

When you multiply variables, what do you do with the exponents?

• add them

• subtract them

• multiply them

• divide them

Simplify.

• 0

• x

• 1

• x¹²

When you divide variables, what do you do with the exponents?

• add them

• subtract them

• multiply them

• divide them

Anything raised to the zero power is equal to ___.

• 0

• 1

• -1

• none of the above

Simplify.

• 
• 
• 
• 

Simplify.

• k⁷

• k³

• 1/k¹⁰

• k¹⁰

Simplify.

• w^-3

• w³

• w²

• w^-13

Simplify x^-7

• -7

• -7x

• 1/x⁷

• -1/x⁷

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

In order to simplify exponents, the bases have to be the same in order to combine variables using properties of exponents.

• True 

• False