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(x^25)(y^25) is equivalent to which of the following

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(x^25)(y^25) is equivalent to which of the following  [#permalink]

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New post 05 Sep 2017, 01:14
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:49) correct 15% (00:38) wrong based on 59 sessions

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(x^25)(y^25) is equivalent to which of the following  [#permalink]

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New post 05 Sep 2017, 01:25
The formula we need to know to solve this question :
\((a^m)^n = a^{m*n}\)
\(a^m * a^n = a^{m+n}\)


Taking these rules in mind, we can evaluate the answer options and find out
which of the answer option yields the expression \((x^{25}*y^{25})\).

\((x^5*y^4)^4(x^5*y^9)\) = \((x^{5*4}y^{4*4})(x^5*y^9)\) = \((x^{20 + 5}*y^{16 + 9})\) = \((x^{25}*y^{25})\)
Hence, Option C is our answer!
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Re: (x^25)(y^25) is equivalent to which of the following  [#permalink]

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New post 07 Sep 2017, 16:47
Bunuel wrote:
\((x^{25})(y^{25})\) is equivalent to which of the following


A. \(x^{25} + y^{25}\)

B. \((x + y)^{25}\)

C. \((x^5y^4)^4(x^5y^9)\)

D. \((x^5y^4)^4(x^5y^{21})\)

E. \((x^5y^5)(x^5y^5)\)


Looking at our answer choices, we see that answer C is correct:

[(x^5)(y^4)]^4 * (x^5)(y^9)

[(x^20)(y^16)] * (x^5)(y^9) = x^25 * y^25

Answer: C
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Re: (x^25)(y^25) is equivalent to which of the following   [#permalink] 07 Sep 2017, 16:47
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