Chapter 6.2, Problem 39E

To determine

To calculate : the value of $\frac{5a^2·2a^2}{10a^4}$

Answer to Problem 39E

The value of $\frac{5a^2·2a^2}{10a^4}$ is $1$

Explanation of Solution

Given information : The question is $\frac{5a^2·2a^2}{10a^4}$

Calculation :

Simplify the coefficients in the numerator and denominator; divide out the common factor,

Therefore,

  $\frac{5a^2·2a^2}{10a^4}=\frac{a^2\times a^2}{a^4}$

Multiply the coefficients in the numerator and apply the power property to multiply the powers

  $\frac{5a^2·2a^2}{10a^4}=\frac{a^{2+2}}{a^4}$

Apply quotient of power property to divide the powers

  $\begin{array}{l}\frac{5a^2·2a^2}{10a^4}=\frac{a^{4-4}}{1}\\ \frac{5a^2·2a^2}{10a^4}=1\end{array}$