Question 884569: If u r intelligent so this question [(2\5)4]2?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i believe you mean ((2/5)^4)^2)
that would be (2/5) raised to the fourth power and the whole thing raised to the second power.
since ((a/b)^c)^d) = (a/b)^(c*d) = a^(c*d) / b^(c*d), you can simplify your problem as follows, and then solve.
((2/5)^4)^2 = ((2/5)^(4*2) = (2/5)^8 = 2^8 / 5^8 = 256 / 390625 = 6.5536 * 10^-4 which is equal to .00065536.
an alternate way to get the same result would be as follows:
since ((a/b)^c)^d) = (a^c / b^c)^d = a^(c*d) / b^(c*d, you can simplify your problem as follows, and then solve.
((2/5)^4)^2 = (2^4 / 5^4)^2 = 2^(4*2) / 5^(4*2) = 2^8 / 5^8 = 256 / 390625 ..... etc.
the answer is the same either way.
if you need help in dealing with exponent arithmetic, try this link:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut26_exp.htm
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