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Which of the following are true, given that x is positive?
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23 Mar 2023, 11:27
23 Mar 2023, 11:27
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Question Stats:
33% (01:07) correct
66% (01:12) wrong based on 15 sessions
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Which of the following are true, given that x is positive?
\(\sqrt[m]{x^n}=(\sqrt[m]{x})^n\)
\(x^{a^{b}}=x^{ab}
\)
\(x^{a+a+a+....a times}=x^{a^{2}}\)
\(4^{4^{4}}< 4^{44}\)
\(x^{a+a+a+a.......n times}=x^{a^{n}}\)
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\(\sqrt[m]{x^n}=(\sqrt[m]{x})^n\)
\(x^{a^{b}}=x^{ab}
\)
\(x^{a+a+a+....a times}=x^{a^{2}}\)
\(4^{4^{4}}< 4^{44}\)
\(x^{a+a+a+a.......n times}=x^{a^{n}}\)
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE EXPONENTS
Re: Which of the following are true, given that x is positive?
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23 Apr 2023, 09:24
23 Apr 2023, 09:24
Expert Reply
This is a pure base knowledge question. In other words, you have to know the rules of exponents. We have to find the answer where the lHS = RHS
A. \((x^n)^{\frac{1}{m}}= x^{\frac{n}{m}}\) which is equal to the LHS. So this is true
B. \(x^{a^b} \neq x^{ab}\) So this is not true
C. \(a^{a+a+a...times}= x^{a^2}\) So this is true
D. essentially in numbers this option is similar to A. So this is false
E. same as D
A and C are the only correct answer choices
A. \((x^n)^{\frac{1}{m}}= x^{\frac{n}{m}}\) which is equal to the LHS. So this is true
B. \(x^{a^b} \neq x^{ab}\) So this is not true
C. \(a^{a+a+a...times}= x^{a^2}\) So this is true
D. essentially in numbers this option is similar to A. So this is false
E. same as D
A and C are the only correct answer choices
Re: Which of the following are true, given that x is positive?
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27 Nov 2024, 06:19
27 Nov 2024, 06:19
Expert Reply
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