# given expression ( 4 x 2 y 4 ) ( 2 x 5 y ) .

### 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 41E

(a)

To determine

## To simplify: given expression (4x2y4)(2x5y) .

Expert Solution

(4x2y4)(2x5y)=8x7y5

### Explanation of Solution

Given information:

Given expression

(4x2y4)(2x5y)

Calculation:

Consider the given expression.

(4x2y4)(2x5y)

And eliminate any negative exponents. To simplify this, first rewrite this expression as a single product.

(4x2y4)(2x5y)=42x2x5y4y=8x2x5y4y

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

8x2x5y4y=8x2+5y4+1=8x7y5

Hence,

(4x2y4)(2x5y)=8x7y5

(b)

To determine

### To evaluate: the given expression (8a2z)(12a3z4) .

Expert Solution

(8a2z)(12a3z4)=4a5z5 .

### Explanation of Solution

Given information:

Given expression

(8a2z)(12a3z4) .

Calculation:

Consider the given expression.

(8a2z)(12a3z4)

And eliminate any negative exponents. To simplify this, first rewrite this expression as a single product.

(8a2z)(12a3z4)=812a2a3zz4=4a2a3zz4

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

4a2a3zz4=4a2+3z1+4=4a5z5

Hence,

(8a2z)(12a3z4)=4a5z5

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