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GRE Math Challenge #66-If x = a^5 and y = a^6
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03 May 2015, 01:22
03 May 2015, 01:22
Expert Reply
00:00
Question Stats:
92% (00:56) correct
7% (00:28) wrong based on 13 sessions
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If \(x = a^5\) and \(y = a^6\),a is not equal to 0, which of the following is equivalent to \(a^{13}\)?
A. \(xy\)
B. \(x^2 y\)
C. \(\frac{x^3}{y}\)
D. \(\frac{x^4}{y}\)
E. \(\frac{y^3}{x}\)
A. \(xy\)
B. \(x^2 y\)
C. \(\frac{x^3}{y}\)
D. \(\frac{x^4}{y}\)
E. \(\frac{y^3}{x}\)
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Re: GRE Math Challenge #66-If x = a^5 and y = a^6
[#permalink]
15 Nov 2018, 12:08
15 Nov 2018, 12:08
1
sandy wrote:
If \(x = a^5\) and \(y = a^6\),a is not equal to 0, which of the following is equivalent to \(a^{13}\)?
A. \(xy\)
B. \(x^2 y\)
C. \(\frac{x^3}{y}\)
D. \(\frac{x^4}{y}\)
E. \(\frac{y^3}{x}\)
A. \(xy\)
B. \(x^2 y\)
C. \(\frac{x^3}{y}\)
D. \(\frac{x^4}{y}\)
E. \(\frac{y^3}{x}\)
Let's take each answer choice and see which one simplifies to a^13...
A) xy = (a^5)(a^6) = a^11. No good. We need a^13. ELIMINATE
B) x²y = (a^5)²(a^6) = (a^10)(a^6) = a^16. No good. We need a^13. ELIMINATE
C) x³/y = (a^5)³/(a^6) = (a^15)/(a^6) = a^9. No good. We need a^13. ELIMINATE
.
.
.
E) y³/x = (a^6)³/(a^5) = (a^18)/(a^5) = a^13. BINGO!!
Answer: E
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Re: GRE Math Challenge #66-If x = a^5 and y = a^6 [#permalink]
15 Nov 2018, 12:08
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