1000(1+.044/4)^48 का समाधान करें

$$1000 ( 1 + \frac { .044 } { 4 } ) ^ { 48 }$$

मूल्यांकन करें

$$1690.656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281$$

हल करने वाले चरण

अंश और हर दोनों 1000 से गुणा करके \frac{0.044}{4} को विस्तृत करें.

$$1000\left(1+\frac{44}{4000}\right)^{48}$$

4 को निकालकर और रद्द करके भिन्न \frac{44}{4000} को न्यूनतम पदों तक कम करें.

$$1000\left(1+\frac{11}{1000}\right)^{48}$$

\frac{1011}{1000} को प्राप्त करने के लिए 1 और \frac{11}{1000} को जोड़ें.

$$1000\times \left(\frac{1011}{1000}\right)^{48}$$

48 की घात की \frac{1011}{1000} से गणना करें और \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} प्राप्त करें.

$$1000\times \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

\frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} प्राप्त करने के लिए 1000 और \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} का गुणा करें.

$$\frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

गुणनखंड निकालें

$$\frac{3 ^ {48} \cdot 337 ^ {48}}{2 ^ {141} \cdot 5 ^ {141}} = 1690\frac{6.568496248504368 \times 10^{140}}{1 \times 10^{141}} = 1690.6568496248503$$