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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 140. (page 522)

In the following exercises, simplify each expression.
${(3 y^{2})}^{4}$

Short Answer

Expert verified

The simplified form of the given expression is $81 y^{8}$

Step by step solution

01

Step 1. Given information. 3y24

The given expression is ${(3 y^{2})}^{4}$ .

02

Step 2. Calculation and simplification.

Calculation of expression using Product Property,

${(3 y^{2})}^{4} = {(3)}^{4} 路 {(y^{2})}^{4} = 81 路 {(y^{2})}^{4}$

Now, We use power property

$81 路 {(y^{2})}^{4} = 81 路 y^{2 路 4} = 81 y^{8}$

Therefore, the simplified form of the given expression is $81 y^{8}$

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Most popular questions from this chapter

$Find the sum: (7 x^{2} - 4 x + 5) + (x^{2} - 7 x + 3)$

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$(3 p + 8) (3 p - 8)$

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Multiply (a) $(2 脳 10^{2}) (1 脳 10^{- 4})$ to get answer in decimal form

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