# given expression x 3 4 x 5 4 .

### 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 61E

(a)

To determine

## To simplify: given expression x34x54 .

Expert Solution

x34x54=x2

### Explanation of Solution

Given information:

Given expression

x34x54

Calculation:

Consider the given expression.

x34x54

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

x34x54=x34+54=x5+34=x84=x2

Hence,

x34x54=x2

(b)

To determine

Expert Solution

y23y43=y2 .

### Explanation of Solution

Given information:

Given expression

y23y43 .

Calculation:

Consider the given expression.

y23y43

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

y23y43=y23+43=y2+43=y63=y2

Hence,

y23y43=y2

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