Rewrite the expression 2^-5 x 7^0 x 6^2 using only positive exponents

Answer 1

To rewrite the expression \( 2^{-5} \times 7^{0} \times 6^{2} \) using only positive exponents, we start by addressing each part:

1. \( 2^{-5} \) can be rewritten as \( \frac{1}{2^{5}} \).
2. \( 7^{0} \) is equal to 1 (since any non-zero number raised to the power of 0 is 1).
3. \( 6^{2} \) remains as is since it is already a positive exponent.

Now we can substitute these values back into the expression:

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

This simplifies to:

\[ \frac{6^{2}}{2^{5}} \]

Therefore, the expression rewritten with only positive exponents is:

\[ \frac{6^{2}}{2^{5}} \]