X^(3/4)=16x^(1/2) what is the value of x?
To solve for x, we need to isolate it on one side of the equation. We can start by dividing both sides by x^(1/2):
x^(3/4) / x^(1/2) = 16
Using the division rule of exponents (x^a / x^b = x^(a-b)), we can simplify the left side:
x^(3/4 - 1/2) = 16
x^(1/4) = 16
To get x by itself, we need to raise both sides to the fourth power:
(x^(1/4))^4 = 16^4
x = 65,536
Therefore, the value of x is 65,536.