Solve 6^10div6^10/6^9div6^8

$$\frac { 6 ^ { 10 } \div 6 ^ { 10 } } { 6 ^ { 9 } \div 6 ^ { 8 } }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Divide 6^{10} by 6^{10} to get 1.

$$\frac{1}{\frac{6^{9}}{6^{8}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 8 from 9 to get 1.

$$\frac{1}{6^{1}}$$

Calculate 6 to the power of 1 and get 6.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$