Question

Which expression is equivalent to (5/8)^3?

5^3*8^3
5^3/8^3
5^3/8
15/24

Answer 1

To simplify the expression \((5/8)^3\), we can use the property of exponents which states that \((a/b)^n = a^n / b^n\).

Applying this property to our expression:

\[
(5/8)^3 = 5^3 / 8^3
\]

Therefore, the expression equivalent to \((5/8)^3\) is:

\[
\frac{5^3}{8^3}
\]

Thus, the correct answer is:

\(\frac{5^3}{8^3}\)