Issolvi [(5/3)^4+(3/5)^-2]div17/9

$$[ ( \frac { 5 } { 3 } ) ^ { 4 } + ( \frac { 3 } { 5 } ) ^ { - 2 } ] \div \frac { 17 } { 9 }$$

Evalwa

$$\frac{50}{9}\approx 5.555555556$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{5}{3} bil-power ta' 4 u tikseb \frac{625}{81}.

$$\frac{\frac{625}{81}+\left(\frac{3}{5}\right)^{-2}}{\frac{17}{9}}$$

Ikkalkula \frac{3}{5} bil-power ta' -2 u tikseb \frac{25}{9}.

$$\frac{\frac{625}{81}+\frac{25}{9}}{\frac{17}{9}}$$

Żid \frac{625}{81} u \frac{25}{9} biex tikseb \frac{850}{81}.

$$\frac{\frac{850}{81}}{\frac{17}{9}}$$

Iddividi \frac{850}{81} b'\frac{17}{9} billi timmultiplika \frac{850}{81} bir-reċiproku ta' \frac{17}{9}.

$$\frac{850}{81}\times \frac{9}{17}$$

Immultiplika \frac{850}{81} u \frac{9}{17} biex tikseb \frac{50}{9}.

$$\frac{50}{9}$$

Fattur

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2}} = 5\frac{5}{9} = 5.555555555555555$$