Solve (8^3)^4*8^9/8^3

$$\frac { ( 8 ^ { 3 } ) ^ { 4 } \cdot 8 ^ { 9 } } { 8 ^ { 3 } }$$

Evaluate

$$18014398509481984$$

Solution Steps

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

$$\frac{8^{12}\times 8^{9}}{8^{3}}$$

To multiply powers of the same base, add their exponents. Add 12 and 9 to get 21.

$$\frac{8^{21}}{8^{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 21 to get 18.

$$8^{18}$$

Calculate 8 to the power of 18 and get 18014398509481984.

$$18014398509481984$$

Factor

$$2^{54}$$