Solve 3^-5*10^-5125/5^-76^-5

$$\frac{ { 3 }^{ -5 } \times { 10 }^{ -5 } 125 }{ { 5 }^{ -7 } { 6 }^{ -5 } }$$

Evaluate

$$3125$$

Solution Steps

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

$$\frac{\frac{1}{243}\times 10^{-5}\times 125}{5^{-7}\times 6^{-5}}$$

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

$$\frac{\frac{1}{243}\times \frac{1}{100000}\times 125}{5^{-7}\times 6^{-5}}$$

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

$$\frac{\frac{1}{24300000}\times 125}{5^{-7}\times 6^{-5}}$$

Multiply \frac{1}{24300000} and 125 to get \frac{1}{194400}.

$$\frac{\frac{1}{194400}}{5^{-7}\times 6^{-5}}$$

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

$$\frac{\frac{1}{194400}}{\frac{1}{78125}\times 6^{-5}}$$

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

$$\frac{\frac{1}{194400}}{\frac{1}{78125}\times \frac{1}{7776}}$$

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

$$\frac{\frac{1}{194400}}{\frac{1}{607500000}}$$

Divide \frac{1}{194400} by \frac{1}{607500000} by multiplying \frac{1}{194400} by the reciprocal of \frac{1}{607500000}.

$$\frac{1}{194400}\times 607500000$$

Multiply \frac{1}{194400} and 607500000 to get 3125.

$$3125$$

Factor

$$5^{5}$$