Solve (-7y)^4(-7y)^-4/(-7y)^-29(-7y)^30

$$\frac { ( - 7 y ) ^ { 4 } ( - 7 y ) ^ { - 4 } } { ( - 7 y ) ^ { - 29 } ( - 7 y ) ^ { 30 } }$$

Evaluate

$$-\frac{1}{7y}$$

Solution Steps

Multiply \left(-7y\right)^{4} and \left(-7y\right)^{-4} to get 1.

$$\frac{1}{\left(-7y\right)^{-29}\left(-7y\right)^{30}}$$

To multiply powers of the same base, add their exponents. Add -29 and 30 to get 1.

$$\frac{1}{\left(-7y\right)^{1}}$$

Calculate -7y to the power of 1 and get -7y.

$$\frac{1}{-7y}$$

Expand

$$-\frac{1}{7y}$$

Solution Steps

Multiply \left(-7y\right)^{4} and \left(-7y\right)^{-4} to get 1.

$$\frac{1}{\left(-7y\right)^{-29}\left(-7y\right)^{30}}$$

To multiply powers of the same base, add their exponents. Add -29 and 30 to get 1.

$$\frac{1}{\left(-7y\right)^{1}}$$

Calculate -7y to the power of 1 and get -7y.

$$\frac{1}{-7y}$$