Chapter 4.5, Problem 14C

To determine

Simplify.

Answer to Problem 14C

  $13b^7$

Explanation of Solution

Given information: $\frac{13b^4.b^4}{b}$

Formula Used: $a^x.a^y=a^{x+y}$ and $\frac{a^x}{a^y}=a^{x-y}$

Calculation:

As the bases are same (b), and in multiplication, the powers are added.

  $\frac{13b^4.b^4}{b}=\frac{13.b^{4+4}}{b}$

  $\frac{13b^4.b^4}{b}=13.b^{8-1}$

  $\frac{13b^4.b^4}{b}=13b^7$