Solve (-2/7)^-4*(-5/7)

$$( \frac { - 2 } { 7 } ) ^ { - 4 } \times ( \frac { - 5 } { 7 } )$$

Evaluate

$$-\frac{1715}{16}=-107.1875$$

Solution Steps

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$\left(-\frac{2}{7}\right)^{-4}\times \frac{-5}{7}$$

Calculate -\frac{2}{7} to the power of -4 and get \frac{2401}{16}.

$$\frac{2401}{16}\times \frac{-5}{7}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$\frac{2401}{16}\left(-\frac{5}{7}\right)$$

Multiply \frac{2401}{16} and -\frac{5}{7} to get -\frac{1715}{16}.

$$-\frac{1715}{16}$$

Factor

$$-\frac{1715}{16} = -107\frac{3}{16} = -107.1875$$