Laws of Exponents

5⁶ written in standard form is

• 6 x 6 x 6 x 6 x 6

• 5 x 6

• 5 x 5 x 5 x 5 x 5 x 5

• 5 x 5

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b x b x b x b written in exponential form is

• b^x

• b⁴

• b⁵

• b^b

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The product rule of exponents states that when multiplying two powers that have the same base, you add the exponents.

• True

• False

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a²³ x a⁸ =

• a¹³⁴

• a¹⁵

• a⁴

• a³¹

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Simplify:

12² x 2³ x 12⁵ x 2²

• 12⁷ x 2⁵

• 12¹⁰ x 2⁶

• 12⁵ x 2¹⁰

• 567⁶⁰

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Simplify:

5³ x 5⁷ x 5²

• 5⁴²

• 15¹³

• 5¹²

• 125⁴²

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Simplify

• 2¹⁰

• 2^2.5

• 2⁹

• 2³

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( 2⁹) ⁵

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To raise a power to a power, you need to subtract the exponents.

• True

• False

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5⁰ =

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