Solve 3^-5*10^-5*250/5^-7*6^-5

$$\frac { 3 ^ { - 5 } \times 10 ^ { - 5 } \times 250 } { 5 ^ { - 7 } \times 6 ^ { - 5 } }$$

Evaluate

$$6250$$

Solution Steps

Calculate 3 to the power of -5 and get \frac{1}{243}.

$$\frac{\frac{1}{243}\times 10^{-5}\times 250}{5^{-7}\times 6^{-5}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{\frac{1}{243}\times \frac{1}{100000}\times 250}{5^{-7}\times 6^{-5}}$$

Multiply \frac{1}{243} and \frac{1}{100000} to get \frac{1}{24300000}.

$$\frac{\frac{1}{24300000}\times 250}{5^{-7}\times 6^{-5}}$$

Multiply \frac{1}{24300000} and 250 to get \frac{1}{97200}.

$$\frac{\frac{1}{97200}}{5^{-7}\times 6^{-5}}$$

Calculate 5 to the power of -7 and get \frac{1}{78125}.

$$\frac{\frac{1}{97200}}{\frac{1}{78125}\times 6^{-5}}$$

Calculate 6 to the power of -5 and get \frac{1}{7776}.

$$\frac{\frac{1}{97200}}{\frac{1}{78125}\times \frac{1}{7776}}$$

Multiply \frac{1}{78125} and \frac{1}{7776} to get \frac{1}{607500000}.

$$\frac{\frac{1}{97200}}{\frac{1}{607500000}}$$

Divide \frac{1}{97200} by \frac{1}{607500000} by multiplying \frac{1}{97200} by the reciprocal of \frac{1}{607500000}.

$$\frac{1}{97200}\times 607500000$$

Multiply \frac{1}{97200} and 607500000 to get 6250.

$$6250$$

Factor

$$2\times 5^{5}$$