Issolvi (5/2)^10*[(5/4)^5]^2

$$( \frac { 5 } { 2 } ) ^ { 10 } \cdot [ ( \frac { 5 } { 4 } ) ^ { 5 } ] ^ { 2 }$$

Evalwa

$$\frac{95367431640625}{1073741824}=88817.841970013$$

Passi tas-Soluzzjonijiet

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 5 u 2 biex tikseb 10.

$$\left(\frac{5}{2}\right)^{10}\times \left(\frac{5}{4}\right)^{10}$$

Ikkalkula \frac{5}{2} bil-power ta' 10 u tikseb \frac{9765625}{1024}.

$$\frac{9765625}{1024}\times \left(\frac{5}{4}\right)^{10}$$

Ikkalkula \frac{5}{4} bil-power ta' 10 u tikseb \frac{9765625}{1048576}.

$$\frac{9765625}{1024}\times \frac{9765625}{1048576}$$

Immultiplika \frac{9765625}{1024} u \frac{9765625}{1048576} biex tikseb \frac{95367431640625}{1073741824}.

$$\frac{95367431640625}{1073741824}$$

Fattur

$$\frac{5 ^ {20}}{2 ^ {30}} = 88817\frac{904058417}{1073741824} = 88817.84197001252$$