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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 159 (page 522)

Simplify ${(\frac{j^{- 2} j^{5}}{j^{4}})}^{3}$

Short Answer

Expert verified

Simplified expression is $j^{- 3}$

Step by step solution

01

Given information

Simplify ${(\frac{j^{- 2} j^{5}}{j^{4}})}^{3}$

02

Simplification

Here

${(\frac{j^{- 2} j^{5}}{j^{4}})}^{3} = {(j^{- 2 + 5 - 4})}^{3} = {(j^{- 1})}^{3} = j^{- 1 \times 3} = j^{- 3}$

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Most popular questions from this chapter

Multiply (a) $(2 \times 10^{2}) (1 \times 10^{- 4})$ to get answer in decimal form

Divide (b) $\frac{5 \times 10^{- 2}}{1 \times 10^{- 10}}$ to get answer in decimal form

In the following exercises, find the product of $(r^{2} - s^{3}) (r^{3} + s^{2})$ .

$Add: (a) 8 y^{2} + 3 z^{2} - 3 y^{2} (b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} .$

Solve the square using the binomial squares pattern.

${(y + \frac{1}{4})}^{2}$

In the following exercises, find the product of ${(m^{3} - 8 n)}^{2}$ .

See all solutions

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