Question

Which expression is equivalent to (StartFraction x Superscript negative 4 Baseline y Over x Superscript negative 9 Baseline y Superscript 5 Baseline EndFraction) Superscript negative 2? Assume x not-equals 0, y not-equals 0.
StartFraction y Superscript 8 Baseline Over x Superscript 10 Baseline EndFraction
StartFraction x Superscript 5 Baseline Over y Superscript 7 Baseline EndFraction
StartFraction x Superscript 5 Baseline Over y Superscript 4 Baseline EndFraction
StartFraction x Over y Superscript 7 Baseline EndFraction

Answer 1

Answer:

  $\dfrac{y^8}{x^{10}}$

Step-by-step explanation:

Apparently, you want to simplify ...

  $\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}\\\\=(x^{-4-(-9)}y^{1-5})^{-2}=x^{5(-2)}y^{-4(-2)}\\\\=x^{-10}y^8=\boxed{\dfrac{y^8}{x^{10}}}$

Answer 2

Answer:

Answer is A on edgetrash2020

Step-by-step explanation: