Solve (-9/5)^-5*(-12/7)^0*5^-3(1/9)^-1

$$( - \frac { 9 } { 5 } ) ^ { - 5 } \times ( - \frac { 12 } { 7 } ) ^ { 0 } \times 5 ^ { - 3 } ( \frac { 1 } { 9 } ) ^ { - 1 }$$

Evaluate

$$-\frac{25}{6561}\approx -0.003810395$$

Solution Steps

Calculate -\frac{9}{5} to the power of -5 and get -\frac{3125}{59049}.

$$-\frac{3125}{59049}\left(-\frac{12}{7}\right)^{0}\times 5^{-3}\times \left(\frac{1}{9}\right)^{-1}$$

Calculate -\frac{12}{7} to the power of 0 and get 1.

$$-\frac{3125}{59049}\times 5^{-3}\times \left(\frac{1}{9}\right)^{-1}$$

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$-\frac{3125}{59049}\times \frac{1}{125}\times \left(\frac{1}{9}\right)^{-1}$$

Multiply -\frac{3125}{59049} and \frac{1}{125} to get -\frac{25}{59049}.

$$-\frac{25}{59049}\times \left(\frac{1}{9}\right)^{-1}$$

Calculate \frac{1}{9} to the power of -1 and get 9.

$$-\frac{25}{59049}\times 9$$

Multiply -\frac{25}{59049} and 9 to get -\frac{25}{6561}.

$$-\frac{25}{6561}$$

Factor

$$-\frac{25}{6561} = -0.0038103947568968147$$