SOLUTION: (10/√5)^500 (1/(2√5))^500 =
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Question 230113: (10/√5)^500 (1/(2√5))^500 =
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Since raising anything but 0 or 1 to the 500th power is difficult, even with a calculator, let's try to avoid doing that until the end. IOW we're going to simplify the expression in every way possible before we try to raise anything to the 500th power.
We'll start by using the following property of exponents, to "undistribute" the exponent from the two fractions:
Now we'll multiply the fractions:
Next we'll use the Commutative and Associative Property of Multiplication to to group the 's:
Since :
Simplifying the fraction
And we now have something that is very easy to raise to the 500th power!
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