# given expression 4 s t 3 s 3 t 2 6 .

### 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 73E

(a)

To determine

## To simplify: given expression 4st3s3t26 .

Expert Solution

4st3s3t26=2st116

### Explanation of Solution

Given information:

Given expression

4st3s3t26

Calculation:

Consider the given expression.

4st3s3t26

Now, use the law of exponents,

amn=amn and aman=am+n

And combine like terms

4st3s3t26=412s12s36t32t26=412s12s12t32t13=2s12+12t32+13=2st116

Hence,

4st3s3t26=2st116

(b)

To determine

Expert Solution

x74x34=x .

### Explanation of Solution

Given information:

Given expression

x74x34 .

Calculation:

Consider the given expression.

x74x34

Now, use the law of exponents,

amn=amn and aman=amn

And combine like terms

x74x34=x74x34=x7434=x734=x44=x

Hence,

x74x34=x

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