Solve (3/7)^-5*(-9/49)^3*(-7)^2

$$( \frac { 3 } { 7 } ) ^ { - 5 } \cdot ( - \frac { 9 } { 49 } ) ^ { 3 } \cdot ( - 7 ) ^ { 2 }$$

Evaluate

$$-21$$

Solution Steps

Calculate \frac{3}{7} to the power of -5 and get \frac{16807}{243}.

$$\frac{16807}{243}\left(-\frac{9}{49}\right)^{3}\left(-7\right)^{2}$$

Calculate -\frac{9}{49} to the power of 3 and get -\frac{729}{117649}.

$$\frac{16807}{243}\left(-\frac{729}{117649}\right)\left(-7\right)^{2}$$

Multiply \frac{16807}{243} and -\frac{729}{117649} to get -\frac{3}{7}.

$$-\frac{3}{7}\left(-7\right)^{2}$$

Calculate -7 to the power of 2 and get 49.

$$-\frac{3}{7}\times 49$$

Multiply -\frac{3}{7} and 49 to get -21.

$$-21$$

Factor

$$-21$$