Solve (5/13)^3*(-13/5)^2

$$( \frac { 5 } { 13 } ) ^ { 3 } \times ( - \frac { 13 } { 5 } ) ^ { 2 }$$

Evaluate

$$\frac{5}{13}\approx 0.384615385$$

Solution Steps

Calculate \frac{5}{13} to the power of 3 and get \frac{125}{2197}.

$$\frac{125}{2197}\left(-\frac{13}{5}\right)^{2}$$

Calculate -\frac{13}{5} to the power of 2 and get \frac{169}{25}.

$$\frac{125}{2197}\times \frac{169}{25}$$

Multiply \frac{125}{2197} times \frac{169}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{125\times 169}{2197\times 25}$$

Do the multiplications in the fraction \frac{125\times 169}{2197\times 25}.

$$\frac{21125}{54925}$$

Reduce the fraction \frac{21125}{54925} to lowest terms by extracting and canceling out 4225.

$$\frac{5}{13}$$

Factor

$$\frac{5}{13} = 0.38461538461538464$$