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08 Sep 2021, 04:37
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:28) correct
30%
(01:22)
wrong
based on 244
sessions
History
Date
Time
Result
Not Attempted Yet
\(\frac{1}{\sqrt[3]{y}} =?\)
A. \(\sqrt[3]{y}\)
B. \(\sqrt[3]{y^2}\)
C. \(\frac{\sqrt[3]{y}}{y}\)
D. \(\frac{\sqrt[3]{y^2}}{y^2}\)
E. \(\frac{\sqrt[3]{y^2}}{y}\)
A. \(\sqrt[3]{y}\)
B. \(\sqrt[3]{y^2}\)
C. \(\frac{\sqrt[3]{y}}{y}\)
D. \(\frac{\sqrt[3]{y^2}}{y^2}\)
E. \(\frac{\sqrt[3]{y^2}}{y}\)
08 Sep 2021, 10:40
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\(\frac{1}{y^(1/3)} =\frac{ y^(2}{3)/y}\)
IMO OA should be E
IMO OA should be E
30 Jan 2023, 05:13
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↧↧↧ Weekly Video Solution to the Problem Series ↧↧↧
We need to simplify \(\frac{1}{\sqrt[3]{y}}\)
Let's take each answer choice and see which one simplifies to \(\frac{1}{\sqrt[3]{y}}\)
\(\frac{1}{\sqrt[3]{y}}\) = \(y^{\frac{-1}{3}}\)
A. \(\sqrt[3]{y}\) = \(y^{\frac{1}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
B. \(\sqrt[3]{y^2}\) = \(y^{\frac{2}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
C. \(\frac{\sqrt[3]{y}}{y}\) = \(y^{\frac{1}{3} - 1}\) = \(y^{\frac{-2}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
D. \(\frac{\sqrt[3]{y^2}}{y^2}\) = \(y^{\frac{2}{3} - 2}\) = \(y^{\frac{-4}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
E. \(\frac{\sqrt[3]{y^2}}{y}\) = \(y^{\frac{2}{3} - 1}\) = \(y^{\frac{-1}{3}}\) => TRUE
So, Answer will be E
Hope it helps!
Watch the following video to learn the Properties of Roots
We need to simplify \(\frac{1}{\sqrt[3]{y}}\)
Let's take each answer choice and see which one simplifies to \(\frac{1}{\sqrt[3]{y}}\)
\(\frac{1}{\sqrt[3]{y}}\) = \(y^{\frac{-1}{3}}\)
A. \(\sqrt[3]{y}\) = \(y^{\frac{1}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
B. \(\sqrt[3]{y^2}\) = \(y^{\frac{2}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
C. \(\frac{\sqrt[3]{y}}{y}\) = \(y^{\frac{1}{3} - 1}\) = \(y^{\frac{-2}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
D. \(\frac{\sqrt[3]{y^2}}{y^2}\) = \(y^{\frac{2}{3} - 2}\) = \(y^{\frac{-4}{3}}\) ≠ \(y^{\frac{-1}{3}}\) => FALSE
E. \(\frac{\sqrt[3]{y^2}}{y}\) = \(y^{\frac{2}{3} - 1}\) = \(y^{\frac{-1}{3}}\) => TRUE
So, Answer will be E
Hope it helps!
Watch the following video to learn the Properties of Roots
