# given expression y 5 6 y 3 .

### 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 71E

(a)

To determine

## To simplify: given expression y56y3 .

Expert Solution

y56y3=y76

### Explanation of Solution

Given information:

Given expression

y56y3

Calculation:

Consider the given expression.

y56y3

Now, use the law of exponents,

amn=amn and aman=am+n

And combine like terms

y56y3=y56y13=y56+13=y5+26=y76

Hence,

y56y3=y76

(b)

To determine

### To evaluate: the given expression (5x3)(2x4) .

Expert Solution

(5x3)(2x4)=10x712 .

### Explanation of Solution

Given information:

Given expression

(5x3)(2x4) .

Calculation:

Consider the given expression.

(5x3)(2x4)

Now, use the law of exponents,

amn=amn and aman=am+n

And combine like terms

(5x3)(2x4)=52x13x14=10x13+14=10x4+312=10x712

Hence,

(5x3)(2x4)=10x712

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