Solve (1/25)^12div(1/5)^10

$$( \frac { 1 } { 25 } ) ^ { 12 } \div ( \frac { 1 } { 5 } ) ^ { 10 }$$

Evaluate

$$\frac{1}{6103515625}=1.6384 \cdot 10^{-10}$$

Solution Steps

Calculate \frac{1}{25} to the power of 12 and get \frac{1}{59604644775390625}.

$$\frac{\frac{1}{59604644775390625}}{\left(\frac{1}{5}\right)^{10}}$$

Calculate \frac{1}{5} to the power of 10 and get \frac{1}{9765625}.

$$\frac{\frac{1}{59604644775390625}}{\frac{1}{9765625}}$$

Divide \frac{1}{59604644775390625} by \frac{1}{9765625} by multiplying \frac{1}{59604644775390625} by the reciprocal of \frac{1}{9765625}.

$$\frac{1}{59604644775390625}\times 9765625$$

Multiply \frac{1}{59604644775390625} and 9765625 to get \frac{9765625}{59604644775390625}.

$$\frac{9765625}{59604644775390625}$$

Reduce the fraction \frac{9765625}{59604644775390625} to lowest terms by extracting and canceling out 9765625.

$$\frac{1}{6103515625}$$

Factor

$$\frac{1}{5 ^ {14}} = 1.6383999999999999 \times 10^{-10}$$