Issolvi [7/2]^3div[5/4]^2+(1-1)^5/8

$$[ \frac { 7 } { 2 } ] ^ { 3 } \div [ \frac { 5 } { 4 } ] ^ { 2 } + \frac { ( 1 - 1 ) ^ { 5 } } { 8 }$$

Evalwa

$$\frac{686}{25}=27.44$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{7}{2} bil-power ta' 3 u tikseb \frac{343}{8}.

$$\frac{\frac{343}{8}}{\left(\frac{5}{4}\right)^{2}}+\frac{\left(1-1\right)^{5}}{8}$$

Ikkalkula \frac{5}{4} bil-power ta' 2 u tikseb \frac{25}{16}.

$$\frac{\frac{343}{8}}{\frac{25}{16}}+\frac{\left(1-1\right)^{5}}{8}$$

Iddividi \frac{343}{8} b'\frac{25}{16} billi timmultiplika \frac{343}{8} bir-reċiproku ta' \frac{25}{16}.

$$\frac{343}{8}\times \frac{16}{25}+\frac{\left(1-1\right)^{5}}{8}$$

Immultiplika \frac{343}{8} u \frac{16}{25} biex tikseb \frac{686}{25}.

$$\frac{686}{25}+\frac{\left(1-1\right)^{5}}{8}$$

Naqqas 1 minn 1 biex tikseb 0.

$$\frac{686}{25}+\frac{0^{5}}{8}$$

Ikkalkula 0 bil-power ta' 5 u tikseb 0.

$$\frac{686}{25}+\frac{0}{8}$$

Żero diviż minn kwalunkwe numru li mhux żero jirriżulta f'żero.

$$\frac{686}{25}+0$$

Żid \frac{686}{25} u 0 biex tikseb \frac{686}{25}.

$$\frac{686}{25}$$

Fattur

$$\frac{2 \cdot 7 ^ {3}}{5 ^ {2}} = 27\frac{11}{25} = 27.44$$