Square of a exponent with root : GMAT Quantitative Section
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Square of a exponent with root

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Director
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Square of a exponent with root [#permalink]

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New post 17 Jul 2010, 15:33
what is

square of 5^sqrt(2) ?


in English it translates to what is

square of five to the power of square root of 2
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If the Q jogged your mind do Kudos me : )

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Re: Square of a exponent with root [#permalink]

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New post 17 Jul 2010, 20:33
rxs0005 wrote:
what is

square of 5^sqrt(2) ?


in English it translates to what is

square of five to the power of square root of 2


Hi!

A fundamental rule of math is that, no matter how weird things look, the same basic rules always apply.

The basic exponent raised to an exponent rule is:

\((x^a)^b = x^{a*b}\)

Applying the rule to your question:

\((5^sqrt2)^2 = 5^{sqrt2 * 2} = 5^{2sqrt2}\)
Re: Square of a exponent with root   [#permalink] 17 Jul 2010, 20:33
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Square of a exponent with root

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