Learn how to solve problems step by step online. Simplify the expression ((x^4)/(y^2))^(-3). Since the exponent is negative, we can invert the fraction. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify \left(y^2\right)^{3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 3. Multiply 2 times 3.

Simplify the expression ((x^4)/(y^2))^(-3)