(9/49)^(-3/2)

then i got
(49/9)^(3/2)

what do i do next?

In the exponent, the 2 in the denominator says to take the square root, so no you have

(7/3)^3

where did the negative go?

i don't under stand! my teacher made it look easy, but when i went to do my home work, the book said something totaly differrent. it starts of withthe age of some joggers, 10-19 and trhe frequency is 5? please make it easyer! this is not making sense!

To simplify the expression (49/9)^(3/2), you can apply the exponent to the numerator and denominator separately.

Let's start by applying the exponent to the numerator:
(49/9)^(3/2) = 49^(3/2) / 9^(3/2).

Next, let's simplify each term separately:
For the numerator, 49^(3/2), we can rewrite it as (sqrt(49))^3, which simplifies to 7^3.
For the denominator, 9^(3/2), we can rewrite it as (sqrt(9))^3, which simplifies to 3^3.

So the simplified expression becomes:
(49/9)^(3/2) = (7^3) / (3^3).

Calculating the values in the numerator and denominator, we have:
(7^3) = 7 * 7 * 7 = 343
(3^3) = 3 * 3 * 3 = 27

Therefore, the simplified expression is:
(49/9)^(3/2) = 343/27.