Solve (-8)^2[(-8)^3]^2/-8^2

$$\frac { ( - 8 ) ^ { 2 } [ ( - 8 ) ^ { 3 } ] ^ { 2 } } { - 8 ^ { 2 } }$$

Evaluate

$$-262144$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

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

Calculate -8 to the power of 8 and get 16777216.

$$\frac{16777216}{-8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{16777216}{-64}$$

Divide 16777216 by -64 to get -262144.

$$-262144$$

Factor

$$-262144$$