Solve (-8)^4*(-8)^6div[(-8)^3]^3

$$( - 8 ) ^ { 4 } \times ( - 8 ) ^ { 6 } \div [ ( - 8 ) ^ { 3 } ] ^ { 3 }$$

Evaluate

$$-8$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$\frac{\left(-8\right)^{10}}{\left(\left(-8\right)^{3}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{\left(-8\right)^{10}}{\left(-8\right)^{9}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 9 from 10 to get 1.

$$\left(-8\right)^{1}$$

Calculate -8 to the power of 1 and get -8.

$$-8$$

Factor

$$-8$$