I'm just checking to see if have the correct answer because my teacher didn't give us an answer key and i like to know that I have done one question properly before doing the rest.
Evaluate. Express answer as an exact number - No decimals.
$$(3^{\frac 13} \times 5^{-\frac 12})^{6}$$
Here is my work:
$$(3^{\frac 13} \times 5^{-\frac 12})^{6}$$ $$=3^{2} \times 5^{-3}$$ $$=\frac{9\times 1}{125}$$ $$=\frac{9}{125}$$
Now I'm not sure if this is the right answer. For some reason I feel it's wrong.
This is correct. ${}{}{}{}{}{}{}{}$