Solve (x^-7y/x^-5)^3

$$( \frac { x ^ { - 7 } y } { x ^ { - 5 } } ) ^ { 3 }$$

Evaluate

$$\frac{y^{3}}{x^{6}}$$

Solution Steps

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

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

To raise \frac{y}{x^{2}} to a power, raise both numerator and denominator to the power and then divide.

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

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

$$\frac{y^{3}}{x^{6}}$$

Expand

$$\frac{y^{3}}{x^{6}}$$

Solution Steps

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

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

To raise \frac{y}{x^{2}} to a power, raise both numerator and denominator to the power and then divide.

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

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

$$\frac{y^{3}}{x^{6}}$$