Properties of Exponents

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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

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

• 4x⁶

• y⁴

• 32x⁵y⁴

• -4x⁷y³

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

7⁰

• 7¹

• 0¹

• 1

• 7

Which is equivalent to the given expression?

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Which of the following expression are equivalent to 7⁸

• 7 x 7⁷

• 7¹⁰ / 7^-2

• (7^-2)^-4

• 1/7^-8

• 7² x 7⁴

(9^-2)³

• 1/9⁶

• 9⁹

• 9⁶

• 1/9⁵