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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.464R (page 562)

In the following exercises, divide the monomials.
$- 26 a^{8} 梅 (2 a^{2})$ .

Short Answer

Expert verified

The simplified form is $13 a^{6}$ .

Step by step solution

01

Step 1

Some properties of exponents:

$\begin{array}{rcl} \frac{a^{m}}{a^{n}} & = & a^{m - n} \\ a^{m} 路 a^{n} & = & a^{m + n} \end{array}$

02

Step 2

Simplify $- 26 a^{8} 梅 (2 a^{2})$ .

Write it in fraction form - $- \frac{26 a^{8}}{2 a^{2}}$ .

Use the fraction multiplication- $- \frac{26}{2} 路 \frac{a^{8}}{a^{2}}$ .

Use quotient property and simplify - $- 13 a^{8 - 2} = - 13 a^{6}$ .

So, $- \frac{26 a^{8}}{2 a^{2}} = - 13 a^{6}$ .

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