Chapter 4.2, Problem 71CCR

To determine

To write : the expression using exponents

Answer to Problem 71CCR

The expression using exponentsis $36x^2\cdot y^4$ .

Explanation of Solution

Given information :

Consider, the expression is,

  $4\cdot 9\cdot x\cdot x\cdot y\cdot y\cdot y\cdot y$

Formula Used :

Using definition of exponent: $\underset{n\text{ times}}{\underbrace{a\cdot a\cdot a\cdot \mathrm{.....}}}=a^n$

Calculation:

The value of expression is:

  $\begin{array}{l}4\cdot 9\cdot x\cdot x\cdot y\cdot y\cdot y\cdot y\\ 36x^2\cdot y^4{}^{}\left[\text{definition of exponent}\right]\end{array}$

Hence, the expression using exponents is $36x^2\cdot y^4$ .