Question

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

Answer 1

1/243

Explanation:

(9)^-5/2

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

⇒(
`(1)/(9)`)^5/2

`(1^(5)/(2) )/(9(5)/(2) )`⇒This is also the same thing but we’re are breaking it down.

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

^
`(1)/(2)` is technically the square root of a number.

`√(1)^(5)`=1

`√(9)^(5)`=243

I’m only 8 years old ;-;