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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 757 (page 806)

In the following exercises, simplify the expression.
${(4 a^{3} b^{5})}^{2}$

Short Answer

Expert verified

The simplified expression is $16 a^{6} b^{10}$ .

Step by step solution

01

Step 1. Given information.

Consider the given question,

${(4 a^{3} b^{5})}^{2}$

02

Step 2. Simplify the expression.

We need to simplify the expression, ${(4 a^{3} b^{5})}^{2}$ .

Using the property, ${(x^{m})}^{n} = x^{m \cdot n}$ ,

$= (4^{2}) (a^{3 \cdot 2}) (b^{5 \cdot 2}) = 16 a^{6} b^{10}$

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