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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 149 (page 521)

Simplify ${(10 p^{4})}^{3} {(5 p^{6})}^{2}$

Short Answer

Expert verified

Simplified expression is $25000 p^{24}$

Step by step solution

01

Step 1. Given information

${(10 p^{4})}^{3} {(5 p^{6})}^{2}$

02

Step 2

Here

{(10 p^{4})}^{3} {(5 p^{6})}^{2} = 10^{3} \times {(p^{4})}^{3} \times 5^{2} \times {(p^{6})}^{2} = 1000 \times p^{4 \times 3} \times 25 \times p^{6 \times 2} = 25000 \times p^{12} \times p^{12} = 25000 \times p^{12 + 12} = 25000 p^{24}

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