Solve (-14)^8*(-2)^-5/7^8

$$\frac { ( - 14 ) ^ { 8 } \times ( - 2 ) ^ { - 5 } } { 7 ^ { 8 } }$$

Evaluate

$$-8$$

Solution Steps

Calculate -14 to the power of 8 and get 1475789056.

$$\frac{1475789056\left(-2\right)^{-5}}{7^{8}}$$

Calculate -2 to the power of -5 and get -\frac{1}{32}.

$$\frac{1475789056\left(-\frac{1}{32}\right)}{7^{8}}$$

Multiply 1475789056 and -\frac{1}{32} to get -46118408.

$$\frac{-46118408}{7^{8}}$$

Calculate 7 to the power of 8 and get 5764801.

$$\frac{-46118408}{5764801}$$

Divide -46118408 by 5764801 to get -8.

$$-8$$

Factor

$$-8$$