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

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

Calcula

$$\frac{470596}{59049}\approx 7,969584582$$

Passos de solució

Calculeu \frac{7}{6} elevat a 3 per obtenir \frac{343}{216}.

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

Calculeu \frac{3}{4} elevat a 2 per obtenir \frac{9}{16}.

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

Dividiu \frac{343}{216} per \frac{9}{16} multiplicant \frac{343}{216} pel recíproc de \frac{9}{16}.

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

Multipliqueu \frac{343}{216} per \frac{16}{9} per obtenir \frac{686}{243}.

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

Calculeu \frac{686}{243} elevat a 2 per obtenir \frac{470596}{59049}.

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

Factoritzar

$$\frac{2 ^ {2} \cdot 7 ^ {6}}{3 ^ {10}} = 7\frac{57253}{59049} = 7,96958458229606$$