PLEASE ANSWER THIS QUESTION

4096

Step-by-step explanation:

Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n

Therefore,

((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2

Now lets focus on ((3/16)^-2)^3/2

(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.

We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27

So now we have, 9^3/2 * 4096/27

We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.

Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096

29 is the correct answer

step-by-step explanation: