How to solve this (20)^3/2.
In the case of a fractional exponent, the numerator is treated as usual, the number is raised to that power.
Then, the denominator is taken as the radical.
In this case,
First, you take 20 to the third power (numerator = 3), 8000
Then, you take the square root (denominator = 2) of 8000
= √8000
= 10√80
= 20√20
= 40√5
x^(3/2) = x^(1 + 1/2) = x * x^(1/2) = x√x
so,
20^(3/2) = 20√20 = 40√5
Thank you very much to you both.
To solve the expression (20)^3/2, you can follow these steps:
Step 1: Simplify the exponent
In this case, the exponent is 3/2. To simplify it, we can write it as the square root of the number raised to the power of 3, which is equivalent to taking the square root of the number and then raising it to the power of 3.
(20)^(3/2) = √(20^3)
Step 2: Calculate the base raised to the power of 3
To find the cube of 20, you simply multiply 20 by itself three times.
20^3 = 20 * 20 * 20 = 8000
Step 3: Take the square root of the result from Step 2
To find the square root of 8000, you can use a calculator or approximation methods. The square root of 8000 is approximately 89.44.
Step 4: Final answer
Putting it all together, (20)^(3/2) equals approximately 89.44.