When raising a product to a power, each factor is raised to the power. When raising a quotient to a power, the numerator and the denominator are both raised to the power. If a power is raised to a power, multiply the exponents. Example
(4x -2 ) 3 Next step. 4 3 (x -2 ) 3 64x -6 64 x 6
If there is a product of powers with the same base, keep the base and add the exponents. If there is a quotient of powers with the same base, keep the base and subtract the exponents.
Simplify all negative exponents by rewriting the power as the reciprocal of the base with the positive exponent. If there is a negative exponent in the numerator of a fraction, move the power to the denominator and change it to a positive exponent. If there is a negative exponent in the denominator of a fraction, move it to the numerator and change it to a positive exponent.