Solve [(-4)^2]^5*(-4):(-4)^8=

$$[ ( - 4 ) ^ { 2 } ] ^ { 5 } \cdot ( - 4 ) : ( - 4 ) ^ { 8 } =$$

Evaluate

$$-64$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$\frac{\left(-4\right)^{10}\left(-4\right)}{\left(-4\right)^{8}}$$

To multiply powers of the same base, add their exponents. Add 10 and 1 to get 11.

$$\frac{\left(-4\right)^{11}}{\left(-4\right)^{8}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 8 from 11 to get 3.

$$\left(-4\right)^{3}$$

Calculate -4 to the power of 3 and get -64.

$$-64$$

Factor

$$-64$$