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 92E

(a)

To determine

To rationalize: the denominator of expression 1a4 .

Expert Solution

Answer to Problem 92E

  1a4=a34a

Explanation of Solution

Given information:

Given expression

  1a4

Calculation:

Consider the given expression.

  1a4

Now, multiply the numerator and denominator by a34 .

  1a4=1a4×a34a34=a34a3+14 [aman=am+n]=a34a44=a34|a| [anm=anm]

Hence,

  1a4=a34a

(b)

To determine

To rationalize: the denominator of expression ab23 .

Expert Solution

Answer to Problem 92E

  ab23=ab3b

Explanation of Solution

Given information:

Given expression

  ab23

Calculation:

Consider the given expression.

  ab23

Now, multiply the numerator and denominator by b3 .

  ab23=ab23×b3b3=ab3b2+13 [aman=am+n]=ab3b33=ab3b [anm=anm]

Hence,

  ab23=ab3b

(c)

To determine

To rationalize: the denominator of expression 1c37 .

Expert Solution

Answer to Problem 92E

  1c37=c47c

Explanation of Solution

Given information:

Given expression

  1c37

Calculation:

Consider the given expression.

  1c37

Now, multiply the numerator and denominator by c47 .

  1c37=1c37×c47c47=c47c37+47=c47c77=c47c

Hence,

  1c37=c47c

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