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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

2 Answers

5 votes

Answer:

Answer is A on edgetrash2020

Explanation:

User Saeid Farivar
by
4.1k points
2 votes

Answer:


(y^8)/(x^(10))

Explanation:

Apparently, you want to simplify ...


\left((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{(y^8)/(x^(10))}

User Rodrigo Divino
by
3.3k points