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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 151 (page 522)

Simplify ${(\frac{1}{2} x^{2} y^{3})}^{4} {(4 x^{5} y^{3})}^{2}$

Short Answer

Expert verified

Simplified expression is $x^{18} y^{18}$

Step by step solution

01

Step 1. Given information

${(\frac{1}{2} x^{2} y^{3})}^{4} {(4 x^{5} y^{3})}^{2}$

02

Step 2

Here

${(\frac{1}{2} x^{2} y^{3})}^{4} {(4 x^{5} y^{3})}^{2} = {(\frac{1}{2})}^{4} {(x^{2})}^{4} {(y^{3})}^{4} {(4)}^{2} {(x^{5})}^{2} {(y^{3})}^{2} = \frac{1}{2^{4}} \times x^{2 \times 4} \times y^{3 \times 4} \times 16 \times x^{5 \times 2} \times y^{3 \times 2} = \frac{1}{16} \times x^{8} \times y^{12} \times 16 \times x^{10} \times y^{6} = x^{8 + 10} \times y^{12 + 6} = x^{18} y^{18}$

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Most popular questions from this chapter

Solve the square using the binomial squares pattern.

${(q + 12)}^{2}$

In the following exercises , simplify the expression $(j^{2} - 8 j - 27) - (j^{2} + 2 j - 12)$ .

Multiply (a) $(3.5 \times 10^{- 4}) (1.6 \times 10^{- 2})$ to get answer in decimal form

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

Use synthetic division to find the quotient and remainder.

$x^{3} - 3 x^{2} - 4 x + 12$ is divided by $x + 2$

Find the product of the below expression.

$(2 x + y) (x - 2 y)$

See all solutions

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