given expression x 8 x 2 .

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.2, Problem 35E

(a)

To determine

To simplify: given expression x8x2 .

Expert Solution

x8x2=x10

Explanation of Solution

Given information:

Given expression

x8x2

Calculation:

Consider the given expression.

x8x2

To simplify this, we will use the first law of exponents, which states

aman=am+nx8x2=x10

(b)

To determine

To evaluate: the given expression (3y2)(4y5) .

Expert Solution

(3y2)(4y5)=12y7

Explanation of Solution

Given information:

Given expression

(3y2)(4y5)

Calculation:

Consider the given expression.

(3y2)(4y5)

These four terms are multiplied, so we can write this as

34y2y512y2y5

To simplify this, we will use the first law of exponents, which states

aman=am+n12y2y5=12y2+512y2y5=12y7(3y2)(4y5)=12y7

(c)

To determine

Expert Solution

x2x6=1x4

Explanation of Solution

Given information:

Given expression

x2x6.

Calculation:

Consider the given expression.

x2x6.

To simplify this, we will use the first law of exponents, which states

aman=am+nx2x6=x2+(6)x2x6=x4

Use the rule of negative exponents, which states

an=1anx4=1x4x2x6=1x4

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