Question

Find the value of $2^{-5}\times 2^4$.

• A. $2^9$
• B. $2^{-1}$
• C. $2^{-20}$
• D. $2^{-3}$

Answer 1

The correct option is B $2^{-1}$

$\text{Given expression is}{2}^{-5}\times 2^4$

We know $a^m\times a^n=a^{(m+n)}$

$\Rightarrow 2^{-5}\times 2^4=2^{(-5+4)}$
$=2^{-1}$