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 37E

(a)

To determine

To simplify: given expression y10y0y7 .

Expert Solution

Answer to Problem 37E

  y10y0y7=y3 .

Explanation of Solution

Given information:

Given expression

  y10y0y7

Calculation:

Consider the given expression.

  y10y0y7

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

  a0=1y0=1y10y0y7=y10y7

Now, use the second law of exponents, which staes

  aman=amny10y7=y107y10y7=y3y10y0y7=y3

(b)

To determine

To evaluate: the given expression x6x10 .

Expert Solution

Answer to Problem 37E

  x6x10=1x4

Explanation of Solution

Given information:

Given expression

  x6x10 .

Calculation:

Consider the given expression.

  x6x10

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

  aman=amnx6x10=x610x6x10=x4

Use the rule of negative exponents, which states

  an=1anx4=1x4x6x10=1x4

(c)

To determine

To evaluate: given expression a9a2a .

Expert Solution

Answer to Problem 37E

  a9a2a=a6

Explanation of Solution

Given information:

Given expression

  a9a2a

Calculation:

Consider the given expression.

  z5z3z4

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

  aman=am+na9a2a=a9+(2)aa9a2a=a7a

To simplify this, use the second law of exponents, which states

  aman=amna7a=a71a7a=a6a9a2a=a6

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!