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 63E

(a)

To determine

To simplify: given expression w43w23w13 .

Expert Solution

Answer to Problem 63E

  w43w23w13=w53

Explanation of Solution

Given information:

Given expression

  w43w23w13

Calculation:

Consider the given expression.

  w43w23w13

Now, use the first law of exponents, which states

  aman=am+n

And combine like terms

  w43w23w13=w43+23w13=w4+23w13=w63w13

Now, use the second law of exponents, which states

  aman=amn

And combine like terms

  w43w23w13=w63w13=w6313=w53

Hence,

  w43w23w13=w53

(b)

To determine

To simplify: given expression s52(2s54)2s12 .

Expert Solution

Answer to Problem 63E

  s52(2s54)2s12=4s92

Explanation of Solution

Given information:

Given expression

  s52(2s54)2s12

Calculation:

Consider the given expression.

  s52(2s54)2s12

Now, use the first law of exponents, which states

  aman=am+n

And combine like terms

  s52(2s54)2s12=s524s52s12=4s52+52s12=4s5+52s12=4s102s12

Now, use the second law of exponents, which states

  aman=amn

And combine like terms

  s52(2s54)2s12=4s102s12=4s10212=4s92

Hence,

  s52(2s54)2s12=4s92

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