## Powers theory

# Powers

Multiplication of Powers with the same base, add exponents

Division of powers with the same base, subtract the exponents

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

If the exponent is 0, the result is 1

Negative base and odd exponent, the result is negative

Negative base and exponent couple, the result is positive

Negative exponent, exchange dividend and divisor

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

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

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.

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You can download the App **BioProfe READER** to practice this theory with **self-corrected exercises**.