Question

Simplifying rational expressions
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Answer 1

`{( \frac{ {x}^( - 4) y}{ {x}^( - 9) {y}^(5) } ) }^( - 2) = \frac{ {y}^(8) }{ {x}^(10) }`

Answer 2

Choice A is correct.

Explanation:

We have given the expression :

(x⁻⁴y/x⁻⁹y⁵)⁻²

We have to simplify it.

As we know that, a⁻¹ = 1/a

Apply it to the expression we get,

(x⁻⁹y⁵/x⁻⁴y)²

applying the whole power 2 to the nominator and the denominator and the nominator.

(x⁻⁹y⁵)²/(x⁻⁴y)²

ₓ⁻¹⁸y¹⁰/x⁻⁸y²

x⁻¹⁰y⁸

y⁸/x¹⁰ is the simplification.

Choice A is correct.