Question

Which expression is equivalent to mc020-1.jpg? Assume x mc020-2.jpg 0 and y > 0.

Answer 1

Given :  x>0 , y > 0     $\sqrt{ \dfrac{55x^7y^6}{11x^{11}y^8} }$

To Find : Equivalent Expression

Solution:

$\sqrt{ \dfrac{55x^7y^6}{11x^{11}y^8} }$

55/11 = 5

xᵃ /xᵇ = xᵃ⁻ᵇ  = 1/xᵇ⁻ᵃ

x⁷/x¹¹ = 1/x⁴

y⁶/y⁸  = 1/y²

$\sqrt{ \dfrac{55x^7y^6}{11x^{11}y^8} }$

= $\sqrt{ \dfrac{5}{x^4y^2} }$

= $\sqrt{ \dfrac{5}{(x^2y)^2} }$

= $\dfrac{\sqrt5}{x^2y}$

$\dfrac{\sqrt5}{x^2y}$  is equivalent to  $\sqrt{ \dfrac{55x^7y^6}{11x^{11}y^8} }$

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Equivalent expression

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