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To multiply numbers with the same base, keep the base and add the indices. |
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To divide numbers with the same base, keep the base and subtract the indices. |
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When raising a power to a power, keep the base and multiply the indices. |
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The power of a product is the product of the powers. |
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A power of a quotient is the quotient of the powers. |
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The root of a quotient is the quotient of the roots . |
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The root of a quotient raised to a power is the quotient of the roots of the powers. |
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Any non-zero number raised to the power of zero is 1. |
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A negative exponent means take the reciprocal. |
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A root is a fractional power. Taking the nth root is the same as raising to the power |
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Using the third and seventh rules allows us to raise a root to a power. |
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