Question

Expanded form of (1/4) 3 as an exponent

Answer 1

To express \((\frac{1}{4})^3\) in expanded form, you would multiply \(\frac{1}{4}\) by itself three times:

\[
\left(\frac{1}{4}\right)^3 = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}
\]

Calculating this step-by-step:

1. First, multiply the first two fractions:

\[
\frac{1}{4} \times \frac{1}{4} = \frac{1 \times 1}{4 \times 4} = \frac{1}{16}
\]

2. Now, multiply the result by the third fraction:

\[
\frac{1}{16} \times \frac{1}{4} = \frac{1 \times 1}{16 \times 4} = \frac{1}{64}
\]

So, the expanded form of \((\frac{1}{4})^3\) is:

\[
\frac{1}{64}
\]