Solve frac{-7}11^5div(7/11)^2*(7/11)^3

$$\frac { - 7 } { 11 } ^ { 5 } \div ( \frac { 7 } { 11 } ) ^ { 2 } \times ( \frac { 7 } { 11 } ) ^ { 3 }$$

Evaluate

$$-\frac{117649}{1771561}\approx -0.066409793$$

Solution Steps

Fraction \frac{-7}{11} can be rewritten as -\frac{7}{11} by extracting the negative sign.

$$\frac{\left(-\frac{7}{11}\right)^{5}}{\left(\frac{7}{11}\right)^{2}}\times \left(\frac{7}{11}\right)^{3}$$

Calculate -\frac{7}{11} to the power of 5 and get -\frac{16807}{161051}.

$$\frac{-\frac{16807}{161051}}{\left(\frac{7}{11}\right)^{2}}\times \left(\frac{7}{11}\right)^{3}$$

Calculate \frac{7}{11} to the power of 2 and get \frac{49}{121}.

$$\frac{-\frac{16807}{161051}}{\frac{49}{121}}\times \left(\frac{7}{11}\right)^{3}$$

Divide -\frac{16807}{161051} by \frac{49}{121} by multiplying -\frac{16807}{161051} by the reciprocal of \frac{49}{121}.

$$-\frac{16807}{161051}\times \frac{121}{49}\times \left(\frac{7}{11}\right)^{3}$$

Multiply -\frac{16807}{161051} and \frac{121}{49} to get -\frac{343}{1331}.

$$-\frac{343}{1331}\times \left(\frac{7}{11}\right)^{3}$$

Calculate \frac{7}{11} to the power of 3 and get \frac{343}{1331}.

$$-\frac{343}{1331}\times \frac{343}{1331}$$

Multiply -\frac{343}{1331} and \frac{343}{1331} to get -\frac{117649}{1771561}.

$$-\frac{117649}{1771561}$$

Factor

$$-\frac{117649}{1771561} = -0.06640979339689686$$