# given expression s s 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 76E

(a)

To determine

## To simplify: given expression ss3 .

Expert Solution

ss3=s54

### Explanation of Solution

Given information:

Given expression

ss3

Calculation:

Consider the given expression.

ss3

Now, use the law of exponents,

amn=amn and aman=am+n

And combine like terms

ss3=ss32=s1+32=s52=(s52)12=s52×12=s54

Hence,

ss3=s54

(b)

To determine

### To evaluate: the given expression 54x2y42x5y3 .

Expert Solution

54x2y42x5y3=3yx .

### Explanation of Solution

Given information:

Given expression

54x2y42x5y3 .

Calculation:

Consider the given expression.

54x2y42x5y3

Now, use the law of exponents,

amn=amn and aman=amn

And combine like terms

54x2y42x5y3=27x25y413=27x3y33=33y3x33=(33y3x3)13=(33)13(y3)13(x3)13=3yx

Hence,

54x2y42x5y3=3yx

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