Zgjidh {left(2.036/2right)}^40*6500

$${ \left( \frac{ 2.036 }{ 2 } \right) }^{ 40 } \times 6500$$

Vlerëso

$$13268.580898360985919961236104895274231728861081353902675408925321643929236720131091884645068094188325016410945801571794944$$

Hapat e zgjidhjes

Zhvillo \frac{2.036}{2} duke shumëzuar si numëruesin ashtu dhe emëruesin me 1000.

$$\left(\frac{2036}{2000}\right)^{40}\times 6500$$

Thjeshto thyesën \frac{2036}{2000} në kufizat më të vogla duke zbritur dhe thjeshtuar 4.

$$\left(\frac{509}{500}\right)^{40}\times 6500$$

Llogarit \frac{509}{500} në fuqi të 40 dhe merr \frac{1856569850323814943499024188530959653442111711628114744656078608336629151901732130036130361160224846084077601}{909494701772928237915039062500000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{1856569850323814943499024188530959653442111711628114744656078608336629151901732130036130361160224846084077601}{909494701772928237915039062500000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 6500$$

Shumëzo \frac{1856569850323814943499024188530959653442111711628114744656078608336629151901732130036130361160224846084077601}{909494701772928237915039062500000000000000000000000000000000000000000000000000000000000000000000000000000000} me 6500 për të marrë \frac{24135408054209594265487314450902475494747452251165491680529021908376178974722517690469694695082922999093008813}{1818989403545856475830078125000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{24135408054209594265487314450902475494747452251165491680529021908376178974722517690469694695082922999093008813}{1818989403545856475830078125000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Faktorizo

$$\frac{13 \cdot 509 ^ {40}}{2 ^ {78} \cdot 5 ^ {117}} = 13268\frac{1.0566479631706938 \times 10^{105}}{1.8189894035458567 \times 10^{105}} = 13268.580898360986$$