# given expression 2 x 3 y 4 x 5 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 46E

(a)

To determine

## To simplify: given expression 2x3y4x5y3 .

Expert Solution

2x3y4x5y3=2yx2

### Explanation of Solution

Given information:

Given expression

2x3y4x5y3

Calculation:

Consider the given expression.

2x3y4x5y3

Now, use the second law of exponents, which states

aman=amn

And combine like terms

2x3y4x5y3=2x35y43=2x2y1=2yx2

Hence,

2x3y4x5y3=2yx2

(b)

To determine

### To evaluate: the given expression (2v3w)2v3w2 .

Expert Solution

(2v3w)2v3w2=4v3

### Explanation of Solution

Given information:

Given expression

(2v3w)2v3w2

Calculation:

Consider the given expression.

(2v3w)2v3w2

Now. Simplify using law of exponents (ab)n=anbn and (am)n=amn .

(2v3w)2v3w2={22(v3)2(w)2}v3w2=4v6w2v3w2

Now, use the second law of exponents, which states

aman=amn

And combine like terms

4v6w2v3w2=4v63w22=4v3w0=4v3 [usew0=1]

Hence,

(2v3w)2v3w2=4v3

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