Powers

Multiplication of Powers with the same base, add exponents

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Division of powers with the same base, subtract the exponents

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Power of a power, it’s the same base and multiplied the exponents

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If the exponent is 0, the result is 1

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Negative base and odd exponent, the result is negative

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Negative base and exponent couple, the result is positive

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Negative exponent, exchange dividend and divisor

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if the exponent is a fraction, it turns into a root of grade the divisor and the exponent will be the dividend

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When the exponent is a negative fraction:

First exchange dividend and divisor.

Second it turns into a root of index the divisor and the exponent will be the dividend

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To solve Equations with fractions, try to convert everything on the same base.

In case of fractions it is possible to change the sign of the exponent exchanging dividend and divisor in order to have the same base.