Solve [(7/6)^3div(3/4)^2]^2=

$$[ ( \frac { 7 } { 6 } ) ^ { 3 } \div ( \frac { 3 } { 4 } ) ^ { 2 } ] ^ { 2 } =$$

Evaluate

$$\frac{470596}{59049}\approx 7.969584582$$

Solution Steps

Calculate \frac{7}{6} to the power of 3 and get \frac{343}{216}.

$$\left(\frac{\frac{343}{216}}{\left(\frac{3}{4}\right)^{2}}\right)^{2}$$

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$\left(\frac{\frac{343}{216}}{\frac{9}{16}}\right)^{2}$$

Divide \frac{343}{216} by \frac{9}{16} by multiplying \frac{343}{216} by the reciprocal of \frac{9}{16}.

$$\left(\frac{343}{216}\times \frac{16}{9}\right)^{2}$$

Multiply \frac{343}{216} and \frac{16}{9} to get \frac{686}{243}.

$$\left(\frac{686}{243}\right)^{2}$$

Calculate \frac{686}{243} to the power of 2 and get \frac{470596}{59049}.

$$\frac{470596}{59049}$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {6}}{3 ^ {10}} = 7\frac{57253}{59049} = 7.96958458229606$$