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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Ikkalkula \frac{7}{6} bil-power ta' 3 u tikseb \frac{343}{216}.

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

Ikkalkula \frac{3}{4} bil-power ta' 2 u tikseb \frac{9}{16}.

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

Iddividi \frac{343}{216} b'\frac{9}{16} billi timmultiplika \frac{343}{216} bir-reċiproku ta' \frac{9}{16}.

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

Immultiplika \frac{343}{216} u \frac{16}{9} biex tikseb \frac{686}{243}.

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

Ikkalkula \frac{686}{243} bil-power ta' 2 u tikseb \frac{470596}{59049}.

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

Fattur

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