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(0.82^2)*(0.82^3)
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Updated on: 22 Aug 2020, 09:00
Updated on: 22 Aug 2020, 09:00
00:00
Question Stats:
57% (00:22) correct
42% (00:10) wrong based on 52 sessions
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Quantity A |
Quantity B |
\((0.82^2)*(0.82^3)\) |
\((0.82^6)\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
I was thinking that the correct answer is B because the exponent of (0.82^6) is 6 which mean is multiplied by itself 6 times which is bigger than (0.82^5) which has the same base and only multiplied by itself 5 times only , that what I thought but I found that the correct answer is A !!!
is it because decimals and fractions power smallest number would be bigger ? unlike the integer number ??
I mean when we compare (2^5) with (2^6) we clearly see that
(2^5) = 32
(2^6) = 64
which means without doubt that (2^6) with the bigger exponents is bigger since the bases are the same in the two values , why the case in the question is totally different ???
Please help
Thank you very much
Re: Exponents ?
[#permalink]
02 Oct 2015, 08:52
02 Oct 2015, 08:52
Expert Reply
Now \((1/2)^2 < 1/2\)
So if the base is less than 1 then if we raise it to a power the value reduces. Hence A is the correct option
So if the base is less than 1 then if we raise it to a power the value reduces. Hence A is the correct option
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Re: Exponents - (0.82^2)*(0.82^3)
[#permalink]
05 Oct 2015, 11:37
05 Oct 2015, 11:37
2
jaber wrote:
Quantity A: (0.82^2)(0.82^3)
Quantity B: (0.82^6)
Quantity B: (0.82^6)
Let's use MATCHING OPERATIONS
First simplify to get:
Quantity A: 0.82^5
Quantity B: 0.82^6
Divide both quantities by 0.82^5 to get:
Quantity A: 1
Quantity B: 0.82^1
0.82^1 = 0.82, so the answer is A
For more on the strategy of performing the same operation to both quantities, see this free video - http://www.greenlighttestprep.com/modul ... video/1097
