Solve (1/27)^15*(-3^15)^3

$$( \frac { 1 } { 27 } ) ^ { 15 } \times ( - 3 ^ { 15 } ) ^ { 3 }$$

Evaluate

$$-1$$

Solution Steps

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

$$\frac{1}{2954312706550833698643}\left(-3^{15}\right)^{3}$$

Calculate 3 to the power of 15 and get 14348907.

$$\frac{1}{2954312706550833698643}\left(-14348907\right)^{3}$$

Calculate -14348907 to the power of 3 and get -2954312706550833698643.

$$\frac{1}{2954312706550833698643}\left(-2954312706550833698643\right)$$

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

$$-1$$

Factor

$$-1$$