How would we evaluate (1/3)^-3/2 ?
When evaluating more complex exponentials it is helpful to break them up into smaller steps. so when we are aproched with (1/3)-3/2 we should first look at the effect that the negative sighn has on the fraction, which is too flip the fraction over into (3/1) or more simply just 3. then we look at the effect of each part of the fractional indicey seperatly. The three on the top initialy cubes the number in the bracket, and the 2 on the bottom square roots this result. This gives us a final answer of the square root of 27.
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All answers ▸Expand the expression (1+3x)^1/3 up to the term x^3.
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