Laws of Exponents

Exponents

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Identify the base: 3²

What is 3

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Identify the exponent 1⁶

What is 6.

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Write in expanded form: 9⁶

What is 9 x 9 x 9 x 9 x 9 x 9

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Write using exponents: h x h x h x h x h

What is h⁵

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Write using exponents: (3 x 3 x 3)

What is 3³

Product of Powers

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You do this to the exponents when you multiply powers with the same base.

What is add.

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Simplify: 5² x 5⁶

What is 5⁸

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Make up your own product of powers question.

What is answer it correctly!

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Simplify: (8x³)(-3x⁹)

What is -24x¹²

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Simplify: 2x² times 4x³

What is 8x⁵

Quotient of Powers

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You do this to the exponents when dividing powers with the same base.

What is subtract

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Simplify: 2⁵/2²

What is 2³

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Simplify: 12x²/6x³

What is 2x^-1

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18a⁷/6a³

What is 3a⁴

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Simplify: w³/w⁸

What is w^-5

Power of Powers

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You do this to the exponents when finding the power to a power.

What is multiply

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Simplify: (z¹¹)⁵

What is z⁵⁵

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Simplify: (x²y⁶)³

What is x⁶y¹⁸

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Simplify: (14y)⁴

What is 14⁴y⁴

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Simplify: (4³)²

What is 4⁶

Negative and Zero Exponents

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Any number raised to the zero power is

What is 1

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2⁰

What is 1

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Write x^-1 using positive exponents.

What is 1/x

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Write using a positive exponent w^-5

What is 1/w⁵

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To write a negative exponent into positive, you must make a ...

What is fraction / flip the numerator and denominator