Solve 8^5*8^12*8/8^6=

$$8 ^ { 5 } \cdot 8 ^ { 12 } \cdot \frac { 8 } { 8 ^ { 6 } } =$$

Evaluate

$$68719476736$$

Solution Steps

Rewrite 8^{6} as 8\times 8^{5}. Cancel out 8 in both numerator and denominator.

$$8^{5}\times 8^{12}\times \frac{1}{8^{5}}$$

To multiply powers of the same base, add their exponents. Add 5 and 12 to get 17.

$$8^{17}\times \frac{1}{8^{5}}$$

Calculate 8 to the power of 17 and get 2251799813685248.

$$2251799813685248\times \frac{1}{8^{5}}$$

Calculate 8 to the power of 5 and get 32768.

$$2251799813685248\times \frac{1}{32768}$$

Multiply 2251799813685248 and \frac{1}{32768} to get \frac{2251799813685248}{32768}.

$$\frac{2251799813685248}{32768}$$

Divide 2251799813685248 by 32768 to get 68719476736.

$$68719476736$$

Factor

$$2^{36}$$