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Which of the following is equal to
[#permalink]
04 Aug 2021, 07:00
04 Aug 2021, 07:00
Expert Reply
00:00
Question Stats:
95% (00:22) correct
4% (00:37) wrong based on 21 sessions
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Which of the following is equal to \(x^{14}\) for all positive values of x ?
A. \(\frac{x^{4}}{x^{18}}\)
B. \((x^2)^{12}\)
C. \((x^7)^7\)
D. \((x^2)^7\)
E. \(x^7+x^7\)
A. \(\frac{x^{4}}{x^{18}}\)
B. \((x^2)^{12}\)
C. \((x^7)^7\)
D. \((x^2)^7\)
E. \(x^7+x^7\)
Which of the following is equal to
[#permalink]
04 Aug 2021, 20:16
04 Aug 2021, 20:16
Solution:
A. \(\frac{x^{4}}{x^{18}}\)=\(\frac{1}{x^{14}}\)- OUT
B. \((x^2)^{12}\)= \(x^{24}\)= Not equal- OUT
C. \((x^7)^7\)=\(x^{49}\)= OUT
D. \((x^2)^7\)= \(x^14\)= Yes for all the positive value this is equal to the above given- Correct
E. \(x^7+x^7\)= \(x^7\)(1+1)=\(x^7\)(2)- OUT
The above are based on root and exponents knowing them comes in handy. You can find them here- https://gre.myprepclub.com/forum/gre-quant ... tml#p52033
IMO D
Hope this helps!
A. \(\frac{x^{4}}{x^{18}}\)=\(\frac{1}{x^{14}}\)- OUT
B. \((x^2)^{12}\)= \(x^{24}\)= Not equal- OUT
C. \((x^7)^7\)=\(x^{49}\)= OUT
D. \((x^2)^7\)= \(x^14\)= Yes for all the positive value this is equal to the above given- Correct
E. \(x^7+x^7\)= \(x^7\)(1+1)=\(x^7\)(2)- OUT
The above are based on root and exponents knowing them comes in handy. You can find them here- https://gre.myprepclub.com/forum/gre-quant ... tml#p52033
IMO D
Hope this helps!
gmatclubot
Which of the following is equal to [#permalink]
04 Aug 2021, 20:16
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