Question

Just want to check to make sure answer is correct. Simplify the expression.

sqrt of x divided by cubed rt of (27x^6). The answer that I got was 1/3x. Please explain.

Answer 1

\[x^{1/2}/(27x^6)^{1/3} = x^{1/2}/3x^{2} = 1/3 x^{1/2 - 2} \]

I got \[1/3x^{-3/2} = 1/(3\sqrt{x^3})\]

Answer 2

Im will draw the equation

Answer 3

yep my answer still holds...

in the denominator (27x^6)^1/3

= 3x^2

so x^(1/2)/3x^2 = 1/3 x(1/2 - 2)

= 1/3 ( x(-3/2))

Answer 4

yes