Which of the following is equivalent to 9^3/4?

[math_celebrity]

Which of the following is equivalent to 9^3/4?

a) 9^1/3

b) 9 ^ 1/4

c) sqrt(3)

d) 3 * sqrt(3)

Since 9 is 3^2, we have 3^(3*2/4) which is 3^6/4

Since 6/4 is 3/2, we have:
3^(3/2)

Since 3/2 is 1 + 1/2, we have:
3^1*sqrt(3)
3*sqrt(3) or option D.