Zero and Negative Exponents

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

Rewrite 7^{-10} using a positive exponent.

Back

\frac{1}{7^{10}}

Front

Simplify \frac{5x}{x^{-1}}.

Back

5x^{2}

Front

What is the value of (-32)^0?

Back

1

Front

Simplify 4a^{-3}b^{-2}.

Back

\frac{4}{a^{3}b^{2}}

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

If x^{-n} = \frac{1}{x^{n}}, what is x^{-3}?

Back

\frac{1}{x^{3}}

Front

What is the result of multiplying two numbers with the same base and different exponents, such as a^m * a^n?

Back

a^{m+n}

Front

What is the result of dividing two numbers with the same base, such as \frac{a^m}{a^n}?

Back

a^{m-n}

Front

What is the value of 0^0?

Back

Undefined or indeterminate.