Solve left(-yright)^4divleft(-y^2right)^2

$${ \left(-y \right) }^{ 4 } \div { \left(- { y }^{ 2 } \right) }^{ 2 }$$

Evaluate

$$1$$

Solution Steps

Calculate -y^{2} to the power of 2 and get \left(y^{2}\right)^{2}.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

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

Expand \left(-y\right)^{4}.

$$\frac{\left(-1\right)^{4}y^{4}}{y^{4}}$$

Calculate -1 to the power of 4 and get 1.

$$\frac{1y^{4}}{y^{4}}$$

Cancel out y^{4} in both numerator and denominator.

$$1$$

Factor

$$1$$