Properties of Exponents

When multiplying powers of the same base, such as (x²)(x), you will _____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

When dividing powers of the same base, such as x³/x⁵, you will _____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Simplify the expression shown. Your answer should contain only positive exponents.

• -a¹²b¹²

• -a⁷b⁷

• a⁷b⁷

• a¹²b¹²

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

7⁰

• 7¹

• 0¹

• 1

• 7

Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Which is equivalent to the given expression?

• 
• 
• 
• 

Which of the following expression are equivalent to 7⁸

• 7 x 7⁷

• 7¹⁰ / 7^-2

• (7^-2)^-4

• 1/7^-8

• 7² x 7⁴