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Radical Q

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rxs0005
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Radical Q [#permalink] New post   02 Mar 2011, 16:47
What is the value of

8^(2/3 )

is it cube root of 8^2

or

is it (Cube root of 8 )^2



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Re: Radical Q [#permalink] New post   02 Mar 2011, 16:51
2^3 = 8
Taking cube root both sides
2 = 8^1/3

So 8^(2/3 ) = square (8^1/3) = 2^2 = 4
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Re: Radical Q [#permalink] New post   02 Mar 2011, 16:58
cube root of 8^2 = 64^1/3
4^3 = 64
Taking cube root both sides
4 = 64^1/3

Both the statements are true.
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Re: Radical Q [#permalink] New post   03 Mar 2011, 22:26
it is essentially same. as per principle of PEMDAS. either of these operation can be applied first.
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Re: Radical Q [#permalink] New post   08 Mar 2011, 17:53
Answer is Both.


8^(2/3 ) = (2 ^ 3)^(2/3) = 2 ^2 = 4

cube root of 8^2 = this can be re - written as (8 ^2)^(1/3) = 8 ^(2/) which same as above.

(Cube root of 8 )^2 = this can be re - written as( 8^(1/3))^2 =2^2 =4 again same.
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Re: Radical Q [#permalink] New post   08 Mar 2011, 22:48
same is the answer!



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Re: Radical Q [#permalink]
08 Mar 2011, 22:48
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