Solve 8^5*8^12*8^-4/8^6=

$$8 ^ { 5 } \cdot 8 ^ { 12 } \cdot \frac { 8 ^ { - 4 } } { 8 ^ { 6 } } =$$

Evaluate

$$2097152$$

Solution Steps

Rewrite 8^{6} as 8^{-4}\times 8^{10}. Cancel out 8^{-4} in both numerator and denominator.

$$8^{5}\times 8^{12}\times \frac{1}{8^{10}}$$

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

$$8^{17}\times \frac{1}{8^{10}}$$

Calculate 8 to the power of 17 and get 2251799813685248.

$$2251799813685248\times \frac{1}{8^{10}}$$

Calculate 8 to the power of 10 and get 1073741824.

$$2251799813685248\times \frac{1}{1073741824}$$

Multiply 2251799813685248 and \frac{1}{1073741824} to get 2097152.

$$2097152$$

Factor

$$2^{21}$$