Question

(1/12​)^2 expanded form not 1/144

Answer 1

To expand \((\frac{1}{12})^2\) in a different way, we multiply the fraction by itself:

\[
\left(\frac{1}{12}\right) \times \left(\frac{1}{12}\right) = \frac{1 \times 1}{12 \times 12} = \frac{1}{144}
\]

This shows that \((\frac{1}{12})^2\) equals \(\frac{1}{144}\).

If you want to express it differently without changing its value, you could write it as:

\[
\frac{1}{12} \times \frac{1}{12} = \frac{1}{12^2}
\]

or

\[
\frac{1}{144} = 1 \times 12^{-2}
\]

However, the result of \((\frac{1}{12})^2\) remains \(\frac{1}{144}\) regardless of how it's expressed. If you have something specific in mind regarding "expanded form" that differs from what I provided, please clarify, and I'd be happy to help further!