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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 150 (page 522)

Simplify ${(4 x^{3})}^{3} {(2 x^{5})}^{4}$

Short Answer

Expert verified

Simplified expression is $1024 x^{29}$

Step by step solution

01

Step 1. Given information

${(4 x^{3})}^{3} {(2 x^{5})}^{4}$

02

Step 2

Here

${(4 x^{3})}^{3} {(2 x^{5})}^{4} = 4^{3} \times {(x^{3})}^{3} \times 2^{4} \times {(x^{5})}^{4} = 64 \times x^{3 \times 3} \times 16 \times x^{5 \times 4} = 1024 \times x^{9} \times x^{20} = 1024 \times x^{9 + 20} = 1024 x^{29}$

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