Solve (50/32)raise to the power of -1 and 1/2?
(50/32)^-1 = 32/50
(50/32)^(1/2) = (25/16)^(1/2) = 5/4
Now, if you meant
(50/32)^(-1 1/2) = (32/50)^(3/2) = √(16/25)^3 = (4/5)^3 = 64/125
To solve the expression (50/32) raised to the power of -1 and 1/2, we follow a few steps:
Step 1: Simplify the fraction (50/32) into its simplest form.
The numerator and denominator share a common factor, which is 2.
So, dividing both the numerator and denominator by 2, we get: (25/16).
Step 2: Raise the fraction (25/16) to the power of -1.
To raise a fraction to the power of -1, we simply need to invert it.
Inverting (25/16) results in (16/25).
Step 3: Raise the fraction (16/25) to the power of 1/2.
To raise a fraction to the power of 1/2 (which represents the square root), we simply need to take the square root of the numerator and the denominator.
Taking the square root of 16 results in 4, and the square root of 25 is 5.
Therefore, (16/25) raised to the power of 1/2 is (4/5).
So, the solution to (50/32) raised to the power of -1 and 1/2 is (4/5).