Solve (3/5)^3:(3/7)^2=

$$( \frac { 3 } { 5 } ) ^ { 3 } : ( \frac { 3 } { 7 } ) ^ { 2 } =$$

Evaluate

$$\frac{147}{125}=1.176$$

Solution Steps

Calculate \frac{3}{5} to the power of 3 and get \frac{27}{125}.

$$\frac{\frac{27}{125}}{\left(\frac{3}{7}\right)^{2}}$$

Calculate \frac{3}{7} to the power of 2 and get \frac{9}{49}.

$$\frac{\frac{27}{125}}{\frac{9}{49}}$$

Divide \frac{27}{125} by \frac{9}{49} by multiplying \frac{27}{125} by the reciprocal of \frac{9}{49}.

$$\frac{27}{125}\times \frac{49}{9}$$

Multiply \frac{27}{125} times \frac{49}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 49}{125\times 9}$$

Do the multiplications in the fraction \frac{27\times 49}{125\times 9}.

$$\frac{1323}{1125}$$

Reduce the fraction \frac{1323}{1125} to lowest terms by extracting and canceling out 9.

$$\frac{147}{125}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{5 ^ {3}} = 1\frac{22}{125} = 1.176$$