Question

Use the properties of exponents to generate an equivalent expression for ^3/8 over ^2

Answer 1

To simplify the expression \(\frac{3}{8}\) raised to the power of \(2\) using the properties of exponents, we can rewrite it as:

\[
\left(\frac{3}{8}\right)^2
\]

Using the property of exponents that states \(\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}\), we can express this as:

\[
\frac{3^2}{8^2}
\]

Calculating \(3^2\) and \(8^2\):

\[
3^2 = 9 \quad \text{and} \quad 8^2 = 64
\]

So, we have:

\[
\left(\frac{3}{8}\right)^2 = \frac{9}{64}
\]

Thus, an equivalent expression for \(\left(\frac{3}{8}\right)^2\) is:

\[
\frac{9}{64}
\]