given expression b 3 4 b .

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 72E

(a)

To determine

To simplify: given expression b34b .

Expert Solution

b34b=b54

Explanation of Solution

Given information:

Given expression

b34b

Calculation:

Consider the given expression.

b34b

Now, use the law of exponents,

amn=amn and aman=am+n

And combine like terms

b34b=b34b12=b34+12=b3+24=b54

Hence,

b34b=b54

(b)

To determine

To evaluate: the given expression (2a)(a23) .

Expert Solution

(2a)(a23)=2a76 .

Explanation of Solution

Given information:

Given expression

(2a)(a23) .

Calculation:

Consider the given expression.

(2a)(a23)

Now, use the law of exponents,

amn=amn and aman=am+n

And combine like terms

(2a)(a23)=2a12a23=2a12+23=2a3+46=2a76

Hence,

(2a)(a23)=2a76

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