Solve 75^8*15^-4*45^-1/25^-3*1125

$$\frac { 75 ^ { 8 } \times 15 ^ { - 4 } \times 45 ^ { - 1 } } { 25 ^ { - 3 } \times 1125 }$$

Evaluate

$$6103515625$$

Solution Steps

Calculate 75 to the power of 8 and get 1001129150390625.

$$\frac{1001129150390625\times 15^{-4}\times 45^{-1}}{25^{-3}\times 1125}$$

Calculate 15 to the power of -4 and get \frac{1}{50625}.

$$\frac{1001129150390625\times \frac{1}{50625}\times 45^{-1}}{25^{-3}\times 1125}$$

Multiply 1001129150390625 and \frac{1}{50625} to get 19775390625.

$$\frac{19775390625\times 45^{-1}}{25^{-3}\times 1125}$$

Calculate 45 to the power of -1 and get \frac{1}{45}.

$$\frac{19775390625\times \frac{1}{45}}{25^{-3}\times 1125}$$

Multiply 19775390625 and \frac{1}{45} to get 439453125.

$$\frac{439453125}{25^{-3}\times 1125}$$

Calculate 25 to the power of -3 and get \frac{1}{15625}.

$$\frac{439453125}{\frac{1}{15625}\times 1125}$$

Multiply \frac{1}{15625} and 1125 to get \frac{9}{125}.

$$\frac{439453125}{\frac{9}{125}}$$

Divide 439453125 by \frac{9}{125} by multiplying 439453125 by the reciprocal of \frac{9}{125}.

$$439453125\times \frac{125}{9}$$

Multiply 439453125 and \frac{125}{9} to get 6103515625.

$$6103515625$$

Factor

$$5^{14}$$