Solve (8^3)^4div(8^2)^3

$$( 8 ^ { 3 } ) ^ { 4 } \div ( 8 ^ { 2 } ) ^ { 3 }$$

Evaluate

$$262144$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\frac{8^{12}}{\left(8^{2}\right)^{3}}$$

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

$$\frac{8^{12}}{8^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 12 to get 6.

$$8^{6}$$

Calculate 8 to the power of 6 and get 262144.

$$262144$$

Factor

$$2^{18}$$