Zero Exponent?

Product or quotient of

powers with the same

base?

Product or quotient raised to a

power?

Simplify Negative

Exponents.

Any power with a zero exponent simplifies to 1.

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.

43(x-2)364x-664x6

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.