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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: 292. (page 551)

$\frac{(10 m^{5} n^{4}) (5 m^{3} n^{6})}{25 m^{7} n^{5}}$

Short Answer

Expert verified

$2 m n^{2}$ $2 m n^{2}$

Step by step solution

01

Step 1

Rewrite as a fraction and use fraction multiplication.

= (\frac{10.5}{25}) (\frac{m^{5} . m^{3}}{m^{7}}) (\frac{n^{4} . n^{6}}{n^{5}})

02

Step 2

Use the quotient property to simplify

$= 2 . m . n^{2}$ $2 . m . n^{2}$

03

Step 3

Multiply the results to get the answer.

= $2 m n^{2}$

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Write number (a) 340,000 (b) 0.041 in scientific notation

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