Solve 4^25*5^80/50^41)^-1

$$\frac { 4 ^ { 25 } \cdot 5 ^ { 80 } } { 50 ^ { 41 } } ) ^ { - 1 }$$

Evaluate

$$\frac{512}{25}=20.48$$

Solution Steps

Calculate 4 to the power of 25 and get 1125899906842624.

$$\frac{1125899906842624\times 5^{80}}{50^{41}}$$

Calculate 5 to the power of 80 and get 82718061255302767487140869206996285356581211090087890625.

$$\frac{1125899906842624\times 82718061255302767487140869206996285356581211090087890625}{50^{41}}$$

Multiply 1125899906842624 and 82718061255302767487140869206996285356581211090087890625 to get 93132257461547851562500000000000000000000000000000000000000000000000000.

$$\frac{93132257461547851562500000000000000000000000000000000000000000000000000}{50^{41}}$$

Calculate 50 to the power of 41 and get 4547473508864641189575195312500000000000000000000000000000000000000000.

$$\frac{93132257461547851562500000000000000000000000000000000000000000000000000}{4547473508864641189575195312500000000000000000000000000000000000000000}$$

Reduce the fraction \frac{93132257461547851562500000000000000000000000000000000000000000000000000}{4547473508864641189575195312500000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 181898940354585647583007812500000000000000000000000000000000000000000.

$$\frac{512}{25}$$

Factor

$$\frac{2 ^ {9}}{5 ^ {2}} = 20\frac{12}{25} = 20.48$$