Question

Fill in the blanks :

$2^4÷2^2\times 2^3=\_\_\_\_\_\_\_\_$

Answer 1

By the properties of exponent, we know that -

$$\begin{gathered} a^x\times a^y=a^{x+y} \\ {a}^x÷a^y=a^{x-y} \end{gathered}$$

By using the above properties -

$$\begin{gathered} 2^4÷2^2\times 2^3=2^{4-2}\times 2^3 \\ =2^2\times 2^3 \\ =2^{2+3} \\ =2^5=32 \end{gathered}$$

Hence, the correct answer is $32$.