{left(2.036/2right)}^40*6500 का समाधान करें

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

मूल्यांकन करें

$$13268.580898360985919961236104895274231728861081353902675408925321643929236720131091884645068094188325016410945801571794944$$

हल करने वाले चरण

अंश और हर दोनों 1000 से गुणा करके \frac{2.036}{2} को विस्तृत करें.

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

4 को निकालकर और रद्द करके भिन्न \frac{2036}{2000} को न्यूनतम पदों तक कम करें.

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

40 की घात की \frac{509}{500} से गणना करें और \frac{1856569850323814943499024188530959653442111711628114744656078608336629151901732130036130361160224846084077601}{909494701772928237915039062500000000000000000000000000000000000000000000000000000000000000000000000000000000} प्राप्त करें.

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

\frac{24135408054209594265487314450902475494747452251165491680529021908376178974722517690469694695082922999093008813}{1818989403545856475830078125000000000000000000000000000000000000000000000000000000000000000000000000000000} प्राप्त करने के लिए \frac{1856569850323814943499024188530959653442111711628114744656078608336629151901732130036130361160224846084077601}{909494701772928237915039062500000000000000000000000000000000000000000000000000000000000000000000000000000000} और 6500 का गुणा करें.

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

गुणनखंड निकालें

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