Solve 1(8^6*8^9)/8^7*8^2)

$$\frac { 1 ( 8 ^ { 6 } \times 8 ^ { 9 } ) } { 8 ^ { 7 } \times 8 ^ { 2 } } )$$

Evaluate

$$262144$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 9 to get 15.

$$\frac{1\times 8^{15}}{8^{7}\times 8^{2}}$$

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$\frac{1\times 8^{15}}{8^{9}}$$

Cancel out 8^{9} in both numerator and denominator.

$$8^{6}$$

Calculate 8 to the power of 6 and get 262144.

$$262144$$

Factor

$$2^{18}$$