x^(3) / x^(1/2) (NB The '1/2' means the 'square root'.
Hence
For division of powers, you subtract.
Hence
x^(3 - 1/2) =
x^(2 1/2) or = x^(5/2)
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You divide the exponent by 2 The square root of a number is that number to the 1/2 power So for examle square root of x cubed (x^3) is x^3 to the half power =x^3/2 (x to the 3/2 power)
64 x 64 x 64 = 262,144√ 262,144 = 512Another way of arriving at this is to take the square root of 64, and cube it - 8 x 8 x 8 also = 512
root 27 = root 9 x root 3 = 3 root 3. Dividing this by root 3 gives 3!
1/x2
x times x times x = 729 Answer is 9 9 cubed is one of the answers to the question, and most probably the only one you need, but for the sake of completeness, you need the other two answers, which are complex numbers: x= (9/2)(i(square root of 3)-9) x= (9/2)(-i(square root of 3)-9)