Laws of Exponents - Negative Exponents

Front

Anything raised to a power of zero is always:

Back

1

Front

Simplify the expression: 5a^4 / 2c

Back

5 / 2a^4c

Front

Rewrite using a positive exponent: w^{-13}

Back

\frac{1}{w^{13}}

Front

Simplify: 2x^{-5}y^{7}⋅3x^{-4}y^{-2}

Back

\frac{6y^{5}}{x^{9}}

Front

Simplify: 4^{-32}

Back

4^{12}

Front

Definition of negative exponent: a^{-n}

Back

\frac{1}{a^{n}}

Front

The product of powers rule states: a^m * a^n

Back

a^{m+n}

Front

The quotient of powers rule states: a^m / a^n

Back

a^{m-n}

Front

The power of a power rule states: (a^m)^n

Back

a^{m*n}

Front

The power of a product rule states: (ab)^n

Back

a^n * b^n