Solve (-27)^-15*(-9)^20div(-3)^-7

$$( - 27 ) ^ { - 15 } \times ( - 9 ) ^ { 20 } \div ( - 3 ) ^ { - 7 }$$

Evaluate

$$9$$

Solution Steps

Calculate -27 to the power of -15 and get -\frac{1}{2954312706550833698643}.

$$\frac{-\frac{1}{2954312706550833698643}\left(-9\right)^{20}}{\left(-3\right)^{-7}}$$

Calculate -9 to the power of 20 and get 12157665459056928801.

$$\frac{-\frac{1}{2954312706550833698643}\times 12157665459056928801}{\left(-3\right)^{-7}}$$

Multiply -\frac{1}{2954312706550833698643} and 12157665459056928801 to get -\frac{1}{243}.

$$\frac{-\frac{1}{243}}{\left(-3\right)^{-7}}$$

Calculate -3 to the power of -7 and get -\frac{1}{2187}.

$$\frac{-\frac{1}{243}}{-\frac{1}{2187}}$$

Divide -\frac{1}{243} by -\frac{1}{2187} by multiplying -\frac{1}{243} by the reciprocal of -\frac{1}{2187}.

$$-\frac{1}{243}\left(-2187\right)$$

Multiply -\frac{1}{243} and -2187 to get 9.

$$9$$

Factor

$$3^{2}$$