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3 years ago

Which expression is equivalent to? Assume x > 0 and y > 0.

Mathematics

2 answers:

shtirl [24]3 years ago

8 0

Answer:

The correct answer is third option

√5/(x²y)

Step-by-step explanation:

It is given an expression,√(55x⁷y⁶/11x¹¹y⁸)

Points to remember

Identities

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ)

x⁻ⁿ = x¹/ⁿ

<u>To find the equivalent expression</u>

We have, √(55x⁷y⁶/11x¹¹y⁸)

By using above identity we can write,

√(55x⁷y⁶/11x¹¹y⁸) = √[(55/11) (x⁷/x¹¹) (y⁶/y⁸)]

= √[5x⁷⁻¹¹ y⁶⁻⁸]

= √[5x⁻⁴ y⁻²]

= √[5/x⁴y²]

= √5/(x²y)

Therefore the correct answer is third option

√5/(x²y)

Gala2k [10]3 years ago

7 0

Answer:

$\frac{\sqrt{5}}{x^{2} y}$

Step-by-step explanation:

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