Solve (-3/5)^3div(-3/5)^5

$$( \frac { - 3 } { 5 } ) ^ { 3 } \div ( \frac { - 3 } { 5 } ) ^ { 5 }$$

Evaluate

$$\frac{25}{9}\approx 2.777777778$$

Solution Steps

Rewrite \left(\frac{-3}{5}\right)^{5} as \left(\frac{-3}{5}\right)^{3}\times \left(\frac{-3}{5}\right)^{2}. Cancel out \left(\frac{-3}{5}\right)^{3} in both numerator and denominator.

$$\frac{1}{\left(\frac{-3}{5}\right)^{2}}$$

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{1}{\left(-\frac{3}{5}\right)^{2}}$$

Calculate -\frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\frac{1}{\frac{9}{25}}$$

Divide 1 by \frac{9}{25} by multiplying 1 by the reciprocal of \frac{9}{25}.

$$1\times \frac{25}{9}$$

Multiply 1 and \frac{25}{9} to get \frac{25}{9}.

$$\frac{25}{9}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$