Question

Simplifying rational expressions Help

Answer 1

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

Answer 2

Answer:

Choice A is correct.

Step-by-step 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.