Which is equivalent to 2^3 *2^-5

1 answer

To simplify \( 2^3 \times 2^{-5} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).

So, you have:

\[ 2^3 \times 2^{-5} = 2^{3 + (-5)} = 2^{-2} \]

Thus, \( 2^3 \times 2^{-5} \) is equivalent to \( 2^{-2} \).

If you want to express \( 2^{-2} \) in a different form, it can be written as:

\[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]

Therefore, \( 2^3 \times 2^{-5} \) is equivalent to \( 2^{-2} \) or \( \frac{1}{4} \).