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Chapter 9: Q 535 (page 1143)

Simplify expressions with a1n

Write with a rational exponent

a)25a3

b)3b

c)40c10

Short Answer

Expert verified

Part (a)25a3=25a13

Part (b)3b=3b12

Part (c)40c10=40c110

Step by step solution

01

Part (a) Step 1:Given information

The given expression is25a3

02

Part (a) Step 2:Simplification

The index is 3,so the denominator of the exponent is 3

鈭�25a3=25a13

03

Part (b) Step 1:Given information

The given expression is3b

04

Part (b) Step 2:Simplification

No index is shown, so it is 2. The denominator of the exponent will be 2.

鈭�3b=3b12

05

Part (c) Step 1:Given information

The given expression is40c10

06

Part (c) Step 2:Simplification

The index is 10, so the denominator of the exponent is 10.

鈭�40c10=40c110

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Most popular questions from this chapter

In the following exercises, simplify and rationalize the denominator.

427

Try It.

Sergio wants to make a square mosaic as an inlay for a table he is building. He has enough tile to cover an area of 2704 square centimeters. Use the formula s=A to find the length of each side of his mosaic. Round your answer to the nearest tenth of a centimeter.

Solve:7s-3+2=0.

In the following exercises, solve:

(a) r+6=r+8

(b)s-3+2=s+4

In the following exercises, solve.

2u-3+2=0
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