Question

Which expression is equivalent to 8^-3

Answer 1

The expression \( 8^{-3} \) can be rewritten using the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \). Therefore, we can express \( 8^{-3} \) as:

\[
8^{-3} = \frac{1}{8^3}
\]

Now, we can calculate \( 8^3 \):

\[
8^3 = 8 \times 8 \times 8 = 512
\]

Thus, \( 8^{-3} \) can also be expressed as:

\[
8^{-3} = \frac{1}{512}
\]

In conclusion, the expression \( 8^{-3} \) is equivalent to \( \frac{1}{512} \).