law of exponents

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Last updated 3:39 PM on 1/28/26
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8 Terms

1
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x^m * x^n = x^m+n

product of powers

2
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x^m/x^n = x^m-n or 1/x^n-m

quotient of powers

3
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(x^m)^n = x^mn

power of a power

4
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(xy)^m = x^m * y^m

power of a product

5
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(x/y)^m = x^m/y^m

power of a quotient

6
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x^-m = 1/x^m

negative exponent

7
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x^1 = x

identity exponent

8
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x^0 = 1 (x not = 0)

zero exponent