1

Problem

Simplify the expression: \$((8x^3)(y^2) \div (3x^2)) \times ((5x) \div (4y))\$

2

Step

Given expression

\$((8x^3)(y^2) \div (3x^2)) \times ((5x) \div (4y))\$

3

Step

Multiply the numerators

\$( (8x^3)(y^2) \times 5x ) = 40 (x^4 )(y^2) \$

4

Step

Multiply the denominators

\$( (3x^2) \times (4y) = (12x^2 y) ) \$

5

Step

Simplify the resulting expression.So, we have:

\$ (40 (x^4 )(y^2) ) \div (12x^2 y)\$

6

Step

Now, we can simplify this fraction by canceling out common factors:

\$ (40 (x^4 )(y^2) ) \div (12x^2 y)\$

\$ (10 (x^4 )(y^2) ) \div (3x^2 y)\$

\$ (10 \div 3) \times (x^2) \$

7

Solution

So, the simplified expression is \$ (10 \div 3) \times (x^2) \$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This step is correct because the simplified expression is \$ (10 \div 3) \times (x^2) \$

Correct \$ (10 \div 3) \times (x^2) \$

10

Choice-B

This step is incorrect because the simplified expression is \$ (10 \div 3) \times (x^2) \$

Wrong \$ (20 \div 3) \times (x^2) \$

11

Choice-C

This step is incorrect because the simplified expression is \$ (10 \div 3) \times (x^2) \$

Wrong \$ (10 \div 5) \times (x^2) \$

12

Choice-D

This step is incorrect because the simplified expression is \$ (10 \div 3) \times (x^2) \$

Wrong \$ (15 \div 2) \times (x^2) \$

13

Step

Option

A

14

Sumup

Please Summarize Choices