Simplify [(xy)^2 ]^2 x^3y^3 x^4y^5 - Vidyadip

MCQ

Simplify $\frac{\Big[(\text{xy})^2\Big]^2\times\text{ x}^3y^3}{\text{x}^4\text{y}^5}$

A
$x^2y^2$
B
$3x^3y^2$
C
$2x^3y^2$
✓
$x^3y^2$

✓

Answer

Correct option: D.

$x^3y^2$

$=\frac{\text{x}^4\text{y}^4\times\text{x}^3\text{y}^3}{\text{x}^4\text{y}^5}$
$=\text{x}^{(4+3-4)}\text{y}^{(4+3-5)}$
$=\text{x}^3\text{y}2$

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