GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
(x^3/y^4)^-2
[#permalink]
09 Dec 2021, 02:26
09 Dec 2021, 02:26
Expert Reply
00:00
Question Stats:
78% (01:25) correct
21% (01:29) wrong based on 14 sessions
Hide Show timer Statistics
\(\frac{(\frac{x^3}{y^4})^{-2}}{(\frac{x^2}{y^3})^4}\)
A. \(\frac{y^{20}}{x^{14}
}\)
B. \(\frac{y^4}{x^2}\)
C. \(\frac{x^2}{y^4}\)
D. \(\frac{y^5}{x^4}\)
E. \(\frac{y^8}{x^5}\)
A. \(\frac{y^{20}}{x^{14}
}\)
B. \(\frac{y^4}{x^2}\)
C. \(\frac{x^2}{y^4}\)
D. \(\frac{y^5}{x^4}\)
E. \(\frac{y^8}{x^5}\)
(x^3/y^4)^-2
[#permalink]
09 Dec 2021, 02:50
09 Dec 2021, 02:50
1
Expert Reply
We begin with the simplification of the given expression to arrive at the correct answer.
Solving the exponents, we get
\(\frac{\frac{x^{-6}}{y^{-8}}}{\frac{x^8}{y^{12}}}\)
After simplification, we get
\(\frac{y^{20}}{x^{14}}\). Hence, the answer is A.
Solving the exponents, we get
\(\frac{\frac{x^{-6}}{y^{-8}}}{\frac{x^8}{y^{12}}}\)
After simplification, we get
\(\frac{y^{20}}{x^{14}}\). Hence, the answer is A.
Re: (x^3/y^4)^-2
[#permalink]
09 Dec 2021, 09:22
09 Dec 2021, 09:22
1
(x^-6 / y^-8) ÷ (x^8 / y^12)
(y^8 / x^6) × (y^12 / x^8)
y^(8+12) / x^(6+8)
y^20 / x^14
Ans - A
Posted from my mobile device
(y^8 / x^6) × (y^12 / x^8)
y^(8+12) / x^(6+8)
y^20 / x^14
Ans - A
Posted from my mobile device
