Solve 8^5*8^18*8^-9/8^6=

$$8 ^ { 5 } \cdot 8 ^ { 18 } \cdot \frac { 8 ^ { - 9 } } { 8 ^ { 6 } } =$$

Evaluate

$$16777216$$

Solution Steps

Rewrite 8^{6} as 8^{-9}\times 8^{15}. Cancel out 8^{-9} in both numerator and denominator.

$$8^{5}\times 8^{18}\times \frac{1}{8^{15}}$$

To multiply powers of the same base, add their exponents. Add 5 and 18 to get 23.

$$8^{23}\times \frac{1}{8^{15}}$$

Calculate 8 to the power of 23 and get 590295810358705651712.

$$590295810358705651712\times \frac{1}{8^{15}}$$

Calculate 8 to the power of 15 and get 35184372088832.

$$590295810358705651712\times \frac{1}{35184372088832}$$

Multiply 590295810358705651712 and \frac{1}{35184372088832} to get 16777216.

$$16777216$$

Factor

$$2^{24}$$