Solve (-8)^3*(-8)^5/(-8)^2*(-8^2)=

$$\frac { ( - 8 ) ^ { 3 } \cdot ( - 8 ) ^ { 5 } } { ( - 8 ) ^ { 2 } \cdot ( - 8 ^ { 2 } ) } =$$

Evaluate

$$-4096$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

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

Cancel out \left(-8\right)^{2} in both numerator and denominator.

$$\frac{\left(-8\right)^{6}}{-8^{2}}$$

Calculate -8 to the power of 6 and get 262144.

$$\frac{262144}{-8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{262144}{-64}$$

Divide 262144 by -64 to get -4096.

$$-4096$$

Factor

$$-4096$$