Solve the equation.

How do you solve a fraction?
X^2/3=1/16

Thanks

X=(1/16)^(3/2)

X=64

To solve the given fraction equation, X^(2/3) = 1/16, follow these steps:

Step 1: Isolate the fraction.
- To do this, get rid of the exponent on the left side by raising both sides of the equation to the reciprocal of 2/3, which is 3/2.
(X^(2/3))^(3/2) = (1/16)^(3/2)
X^(2/3 * 3/2) = (1/16)^(3/2)
X^1 = (1/16)^(3/2)

Step 2: Simplify the equation.
- On the right side, simplify the expression (1/16)^(3/2). To raise a fraction with a denominator to a fractional exponent, square root the numerator and denominator separately.
X^1 = √((1/16)^3)

- Next, find the square root of the numerator and denominator.
X^1 = (√1^3)/(√16^3)
X = (1^3/16^3)
X = 1/4096

Therefore, the solution to the equation X^(2/3) = 1/16 is X = 1/4096.