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(0.3)^5/(0.3)^3

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Bunuel
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(0.3)^5/(0.3)^3 [#permalink] New post   16 Sep 2018, 02:15
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A
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94% (00:25) correct 6% (00:45) wrong based on 783 sessions
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\(\frac{(0.3)^5}{(0.3)^3} =\)


A. 0.001

B. 0.01

C. 0.09

D. 0.9

E. 1
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C
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D
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   16 Sep 2018, 02:58
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Bunuel wrote:
\(\frac{(0.3)^5}{(0.3)^3} =\)


A. 0.001

B. 0.01

C. 0.09

D. 0.9

E. 1



\(\frac{(0.3)^5}{(0.3)^3} =\)

= \((0.3)^{5-3}\)

= \(0.3^2\)

=0.09

The best answer is C.
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   16 Sep 2018, 03:02
\(\frac{{0.3}^5}{{0.3}^3}\)

= \(0.3^{5-3}\)

= \(0.3^2\)

=0.09

C is the answer.
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LevanKhukhunashvili
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(0.3)^5/(0.3)^3 [#permalink] New post   16 Sep 2018, 03:19
If someone needs a visualization why we subtract powers and not divide 0.3 by 0.3

\(\frac{0.3^5}{0.3^3}\)=\(\frac{(0.3)(0.3)(0.3)(0.3)(0.3)}{(0.3)(0.3)(0.3)}\)=(0.3)(0.3)=0.09

IMO
Ans: C
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   16 Sep 2018, 14:39
Hi Bunuel,

is this a 600-700 range question?

Most of the times for me 700 questions are difficult to crack or take long time.
But 600 to 700 are very easy... wondering is this real
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   15 Apr 2020, 20:47
(0.3)^5/(0.3)^3
=(0.3)^(5−3)
=(0.3)^2
=0.09

correct answer is C
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TheNightKing
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   21 Apr 2020, 18:33
Bunuel wrote:
\(\frac{(0.3)^5}{(0.3)^3} =\)


A. 0.001

B. 0.01

C. 0.09

D. 0.9

E. 1


0.3*0.3 is left from the fraction

Ignore the decimals we get 3*3=9

Bring back the 2 decimal places, we get .09

Answer C
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   23 Apr 2020, 03:57
Expert Reply
Bunuel wrote:
\(\frac{(0.3)^5}{(0.3)^3} =\)


A. 0.001

B. 0.01

C. 0.09

D. 0.9

E. 1


Simplifying, we have:

0.3^2 = 0.09

Answer: C
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Re: (0.3)^5/(0.3)^3 [#permalink] New post   19 Mar 2024, 13:32
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Re: (0.3)^5/(0.3)^3 [#permalink]
19 Mar 2024, 13:32
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