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Square of a exponent with root

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Square of a exponent with root [#permalink] New post 17 Jul 2010, 15:33
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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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Re: Square of a exponent with root [#permalink] 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}
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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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