Question

I need help with this question. The directions say to evaluate and express the answer in the simplest form.

Answer 1

Answer:

1/243

Step-by-step explanation:

(9)^-5/2

In order to get rid of the negative exponent, take the reprocal of 9/1

⇒($\frac{1}{9}$)^5/2

$\frac{1^\frac{5}{2} }{9\frac{5}{2} }$⇒This is also the same thing but we’re are breaking it down.

$\frac{(1^{\frac{1}{2})^{5} } }{(9\frac{1}{2})^{5} }$⇒We are further breaking this down...

^$\frac{1}{2}$ is technically the square root of a number.

$\sqrt{1}^{5}$=1

$\sqrt{9}^{5}$=243

I’m only 8 years old ;-;