Solve (xy^-3)^2/y^4

$$\frac { ( x y ^ { - 3 } ) ^ { 2 } } { y ^ { 4 } }$$

Evaluate

$$\frac{x^{2}}{y^{10}}$$

Solution Steps

Expand \left(xy^{-3}\right)^{2}.

$$\frac{x^{2}\left(y^{-3}\right)^{2}}{y^{4}}$$

To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.

$$\frac{x^{2}y^{-6}}{y^{4}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{x^{2}}{y^{10}}$$

Expand

$$\frac{x^{2}}{y^{10}}$$

Solution Steps

Expand \left(xy^{-3}\right)^{2}.

$$\frac{x^{2}\left(y^{-3}\right)^{2}}{y^{4}}$$

To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.

$$\frac{x^{2}y^{-6}}{y^{4}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{x^{2}}{y^{10}}$$