9 to the 3/2 power?
27
9^(3/2)
= (9^1/2)^3
= (√9)^3
= 3^3
= 27
To find the value of 9 raised to the power of 3/2, we can follow these steps:
Step 1: Rewrite the exponent in fractional form. The exponent 3/2 can also be written as the square root of 3.
Step 2: Evaluate the square root of 9, which is 3.
Step 3: Raise the result of step 2 (3) to the power of 3.
Step 4: Calculate 3 raised to the power of 3, which is 27.
Therefore, 9 to the power of 3/2 is equal to 27.