# How do you write the expression 2*x*x*y*y using exponents?

Jan 9, 2017

$2 {x}^{2} {y}^{2}$

#### Explanation:

$\text{An" color(blue)" exponent}$ is used whenever numeric or algebraic values are being multiplied $\textcolor{b l u e}{\text{repeatedly}} .$

$\text{That is " 2xx2xx2=2^(color(red)(3))larr" numeric values}$

The exponent is $\textcolor{red}{3}$ since 2 is being multiplied by itself 3 times.

$\Rightarrow 5 \times 5 \times 5 \times 5 = {5}^{\textcolor{red}{4}}$

$\text{and " x xx x xx x=x^(color(red)(3))larr" algebraic values}$

$\Rightarrow 2 \times x \times x \times y \times y = 2 {x}^{2} {y}^{2}$