# Which of the following is equivalent to (2^3)(2^5)(2^2)?

Jan 7, 2017

See the use of exponents below to simplify this expression:

#### Explanation:

We will use the following rule for exponents to simplify this expression:

$\left({x}^{\textcolor{red}{a}}\right) \left({x}^{\textcolor{b l u e}{b}}\right) = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

Applying this rule to the expression gives:

${2}^{3 + 5 + 2}$

${2}^{10}$ or 1,024