Answer:
D
Step-by-step explanation:
For this you need to know about fractional and negative exponents. Simply, if you have a negative exponent you can rewrite it like this. x^(-y) = 1/(x^y). Fractional exponents can be written as roots. the base case is like this x^(1/y) = y root of x, or x^(1/2) = sqrt(x), so the denominator becomes the root. Now, if it's not 1/y, and there's something in the numerator like z/y, then this happens. x^(z/y) = y root(x^z). So the same thing happens with the denominator, you just keep the numerator as a normal power.
Now then, right away we can seethe fifth root of x, so we know that turns into x^(1/5). You can also rewrite the fraction as 16/x^(1/5) = 16*1/x^(1/5). Now, we know 1/x^(1/5) can be rewritten as a negative exponent, so now it is 16x^(-1/5), which is D.
Let me know if you don't understand anything and I can explain it mor ein depth.
