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# Which of the following equals a^2b^−35/a^−7b^20 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 58431
Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 01:25
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Difficulty:

15% (low)

Question Stats:

87% (00:51) correct 13% (02:09) wrong based on 37 sessions

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Which of the following equals $$\frac{(a^2b^{−3})^5}{a^{−7}b^{20}}$$ ?

A $$a^9b^{−23}$$

B $$a^{17}b^{−35}$$

C $$a^{17}b^5$$

D $$a^{45}b^{−115}$$

E $$b^{−22}$$

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Re: Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 01:44
Bunuel wrote:
Which of the following equals $$\frac{a^2b^{−35}}{a^{−7}b^{20}}$$ ?

A $$a^9b^{−23}$$

B $$a^{17}b^{−35}$$

C $$a^{17}b^5$$

D $$a^{45}b^{−115}$$

E $$b^{−22}$$

Given ,

$$\frac{a^2b^{−35}}{a^{−7}b^{20}}$$

$$\frac{a^2a^7}{b^{35}b^{20}}$$

$$\frac{a^9}{b^{55}}$$

$$a^9b^{-55}$$

i think answer choice is missing in this question
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Joined: 21 Jan 2019
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Re: Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 01:46
I got a^9*b^-55.... But that's no where in the answer choices....

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Re: Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 01:48
Bunuel , kindly review this question.
Math Expert
Joined: 02 Sep 2009
Posts: 58431
Re: Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 01:50
selim wrote:
Bunuel , kindly review this question.

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Edited. Thank you.
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Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 01:56
Bunuel wrote:
Which of the following equals $$\frac{(a^2b^{−3})^5}{a^{−7}b^{20}}$$ ?

A $$a^9b^{−23}$$

B $$a^{17}b^{−35}$$

C $$a^{17}b^5$$

D $$a^{45}b^{−115}$$

E $$b^{−22}$$

Given ,

$$\frac{(a^2b^{−3})^5}{a^{−7}b^{20}}$$

$$\frac{(a^{10}b^{−15})}{a^{−7}b^{20}}$$

$$\frac{a^{10}a^7}{b^{15}b^{20}}$$

$$=a^{17} / b^{35}$$

$$=a^17 b^{-35}$$

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Re: Which of the following equals a^2b^−35/a^−7b^20 ?  [#permalink]

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22 Jan 2019, 04:55
Bunuel wrote:
Which of the following equals $$\frac{(a^2b^{−3})^5}{a^{−7}b^{20}}$$ ?

A $$a^9b^{−23}$$

B $$a^{17}b^{−35}$$

C $$a^{17}b^5$$

D $$a^{45}b^{−115}$$

E $$b^{−22}$$

a^10 * b^-15 / a^-7 * b^ 20

we get
$$a^{17}b^{−35}$$
IMO B
Re: Which of the following equals a^2b^−35/a^−7b^20 ?   [#permalink] 22 Jan 2019, 04:55
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