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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 154 (page 522)

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

Short Answer

Expert verified

Simplified expression is $200 p^{15} q^{14}$

Step by step solution

01

Step 1. Given information

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

02

Step 2

Here

${(2 p q^{4})}^{3} {(5 p^{6} q)}^{2} = {(2)}^{3} {(p)}^{3} {(q^{4})}^{3} {(5)}^{2} {(p^{6})}^{2} {(q)}^{2} = 8 \times p^{3} \times q^{4 \times 3} \times 25 \times p^{6 \times 2} \times q^{2} = 200 \times p^{3} \times q^{12} \times p^{12} \times q^{2} = 200 \times p^{3 + 12} \times q^{12 + 2} = 200 p^{15} q^{14}$

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Most popular questions from this chapter

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

Simplify (a) $(3 x)^{2} (5 x)$ (b) $(2 y)^{3} (6 y)$

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Divide (b) $\frac{8 \times 10^{6}}{4 \times 10^{- 1}}$ to get answer in decimal form

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(a) ${(2 r^{- 2})}^{3} {(4^{- 1} r)}^{2}$ (b) ${(3 x^{- 3})}^{3} {(3^{- 1} x^{5})}^{4}$

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