Question

Rewrite the expression 2^-5 x 7^0 x 6^2

Answer 1

To rewrite the expression \(2^{-5} \times 7^0 \times 6^2\), we can simplify each term:

1. \(2^{-5} = \frac{1}{2^5} = \frac{1}{32}\)
2. \(7^0 = 1\) (any number raised to the power of 0 is 1)
3. \(6^2 = 36\)

Now, putting it all together:

\[
2^{-5} \times 7^0 \times 6^2 = \frac{1}{32} \times 1 \times 36 = \frac{36}{32}
\]

To simplify \(\frac{36}{32}\):

\[
\frac{36}{32} = \frac{9}{8}
\]

Thus, the rewritten and simplified expression is:

\[
\frac{9}{8}
\]