Question

Simplify the given expression to rational exponent form, justify each step by identifying the properties of rational exponents used. All work must be shown.
1 over the cube root of the quantity of x to the negative sixth power

Answer 1

\[\large \frac{1}{\sqrt[3]{x^{-6}}}\]?

Answer 2

yes that's what it looks like

Answer 3

the negative exponent means flip it, so you get
\[\sqrt[3]{x^6}\] as a first step

Answer 4

as a rational exponent this is
\[x^{\frac{6}{3}}\] and since \(\frac{6}{3}=2\) your final answer is \(x^2\)

Answer 5

thank you !! :)

Answer 6

yw