BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.2, Problem 18E

(a)

To determine

To evaluate: given expression (23)3 .

Expert Solution

Answer to Problem 18E

  (23)3=278 .

Explanation of Solution

Given information:

Given expression

  (23)3

Calculation:

Use the fifth law of exponents, which states

  (ab)n=anbn(23)3=(2)333

Recall the rule of negative exponents, which states

  anbm=bman(2)333=33(2)3

Expand the expression and then multiply.

  33(2)3=333222(23)3=278

This is our simplified expression.

(b)

To determine

To evaluate: the given expression (32)2916 .

Expert Solution

Answer to Problem 18E

  (32)2916=14 .

Explanation of Solution

Given information:

Given expression

  (32)2916 .

Calculation:

Use the fifth law of exponents, which states

  (ab)n=anbn(32)2916=3222916

Recall the rule of negative exponents, which states

  anbm=bman3222=2232

So,

  3222916=2232916

Expand the expression and then multiply.

  2232916=223391649.916=416=14(32)2916=14

(c)

To determine

To evaluate: given expression (12)4(52)2 .

Expert Solution

Answer to Problem 18E

  (12)4(52)2=1100

Explanation of Solution

Given information:

Given expression

  (12)4(52)2

Calculation:

Use the fifth law of exponents, which states

  (ab)n=anbn(12)4(52)2=14245222

Recall the rule of negative exponents, which states

  anbm=bman14245222=14242252

Expand the expression and then multiply.

  14242252=11112222225514242252=4400=1100(12)4(52)2=1100

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!