Math, asked by milivansh8492, 1 year ago

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

Answers

Answered by mwchang
23
2,jpg 0 and y> 0. hope it helps you
Answered by amitnrw
8

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} }

Learn More:

Equivalent expression

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