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# (6^4 - 6^3)/5 =

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Math Expert
Joined: 02 Sep 2009
Posts: 64068

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24 Jan 2020, 01:56
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Difficulty:

15% (low)

Question Stats:

84% (00:31) correct 16% (01:02) wrong based on 58 sessions

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$$\frac{6^4 - 6^3}{5} =$$

A. 1/5

B. 6^3

C. 6/5

D. 6^4

E. 6^3/5

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Re: (6^4 - 6^3)/5 =  [#permalink]

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24 Jan 2020, 02:12
$$\frac{6^4 - 6^3}{5} =$$
Taking $$6^3$$ common, we get
$$6^3(\frac{6 - 1}{5})$$
$$6^3(\frac{5}{5})$$
$$6^3$$ ... 'B' is the winner

Bunuel wrote:
$$\frac{6^4 - 6^3}{5} =$$

A. 1/5

B. 6^3

C. 6/5

D. 6^4

E. 6^3/5

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Re: (6^4 - 6^3)/5 =  [#permalink]

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24 Jan 2020, 02:39
$$\frac{6^3(6-1)}{5}$$ => $$\frac{6^3(5)}{5}$$

= $$6^3$$

Option B
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Re: (6^4 - 6^3)/5 =  [#permalink]

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24 Jan 2020, 09:31
Bunuel wrote:
$$\frac{6^4 - 6^3}{5} =$$

A. 1/5

B. 6^3

C. 6/5

D. 6^4

E. 6^3/5

$$\frac{6^4 - 6^3}{5}$$

= $$\frac{6^3 ( 6 - 1)}{5}$$

= $$\frac{6^3*5}{5}$$

= $$6^3$$, Answer must be (B)
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Re: (6^4 - 6^3)/5 =  [#permalink]

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24 Jan 2020, 13:08

Solution

Given
In this question, we are given that
• An expression: $$\frac{{6^4 – 6^3}}{5}$$

To find
We need to determine
• The simplified value of the given expression

Approach and Working out
Numerator of the expression = $$6^4 – 6^3 = 6^3 (6 – 1) = 5 * 6^3$$
• Hence, the value of the expression = $$\frac{{5 * 6^3}}{5} = 6^3$$
Thus, option B is the correct answer.

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Re: (6^4 - 6^3)/5 =  [#permalink]

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25 Jan 2020, 02:00
Solution:

6^3x6-6^3/5 ==>6^3(6-1)/5 ==> 6^3 is the answer
Re: (6^4 - 6^3)/5 =   [#permalink] 25 Jan 2020, 02:00