Evaluate. Write your answer as a fraction or whole number without exponents.

Question

5^–3 =

Answer 1

To evaluate \( 5^{-3} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \).

Thus,

\[ 5^{-3} = \frac{1}{5^3} \]

Now, calculate \( 5^3 \):

\[ 5^3 = 5 \times 5 \times 5 = 125 \]

Therefore,

\[ 5^{-3} = \frac{1}{125} \]

So, the final answer is

\[ \frac{1}{125} \]