Negative exponents

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What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, x^-n = 1/x^n.

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CCSS.8.EE.A.1

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Simplify: x^-7

Back

x^7

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CCSS.8.EE.A.1

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Rewrite with a negative exponent: 1/12^4

Back

12^-4

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CCSS.8.EE.A.1

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Simplify: 5^5 * 5^-3

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5^2

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CCSS.8.EE.A.1

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Rewrite using positive exponents: 1/4^2

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4^-2

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CCSS.8.EE.A.1

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What is the Power Rule for exponents?

Back

The Power Rule states that (a^m)^n = a^(m*n).

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CCSS.8.EE.A.1

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What is the Product Rule for exponents?

Back

The Product Rule states that a^m * a^n = a^(m+n).

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CCSS.8.EE.A.1

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What is the Quotient Rule for exponents?

Back

The Quotient Rule states that a^m / a^n = a^(m-n).

Tags

CCSS.8.EE.A.1

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What does it mean to simplify an expression with exponents?

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To simplify means to reduce the expression to its simplest form using exponent rules.

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CCSS.8.EE.A.1

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What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

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CCSS.8.EE.A.1