9 to the 3/2 power =
how do I reduce it?
the 2 means to take the square root of..
(sqrt9) cubed remains, or 9sqrt9 or 27
confusing but thank you
To simplify the expression 9 to the power of 3/2, you can follow these steps:
Step 1: Rewrite the exponent as a fractional exponent. The exponent 3/2 can be written as the square root of 3. This is because raising a number to the power of 3/2 is the same as taking the square root of that number and then squaring the result. So, 9^(3/2) is equivalent to 9^(√3).
Step 2: Evaluate the square root of 3. The square root of 3 is an irrational number that cannot be expressed as a simple fraction or decimal. However, you can use a calculator to approximate its value, which is approximately 1.732.
Step 3: Substitute the approximate value of the square root of 3 into the expression. Replace the square root of 3 with the approximate value of 1.732. Now, the expression becomes 9^(1.732).
Step 4: Simplify and evaluate the expression. Using a calculator or any exponentiation function, raise 9 to the power of 1.732. The result is approximately 52.62.
Therefore, 9 to the power of 3/2 (or 9^(3/2)) is approximately equal to 52.62.