Solve (-5)^-12:7^-12

$$( - 5 ) ^ { - 12 } : 7 ^ { - 12 }$$

Evaluate

$$\frac{13841287201}{244140625}\approx 56.693912375$$

Solution Steps

Calculate -5 to the power of -12 and get \frac{1}{244140625}.

$$\frac{\frac{1}{244140625}}{7^{-12}}$$

Calculate 7 to the power of -12 and get \frac{1}{13841287201}.

$$\frac{\frac{1}{244140625}}{\frac{1}{13841287201}}$$

Divide \frac{1}{244140625} by \frac{1}{13841287201} by multiplying \frac{1}{244140625} by the reciprocal of \frac{1}{13841287201}.

$$\frac{1}{244140625}\times 13841287201$$

Multiply \frac{1}{244140625} and 13841287201 to get \frac{13841287201}{244140625}.

$$\frac{13841287201}{244140625}$$

Factor

$$\frac{7 ^ {12}}{5 ^ {12}} = 56\frac{169412201}{244140625} = 56.693912375296$$