Leysa 4000(1+.044/4)^4(5)

$$4000 ( 1 + \frac { .044 } { 4 } ) ^ { 4 ( 5 ) }$$

Meta

$$4978.323371133830101870227782125243658284214165724579503316804$$

Lausnarskref

Leystu upp \frac{0.044}{4} með því að margfalda bæði teljara og nefnara með 1000.

$$4000\left(1+\frac{44}{4000}\right)^{4\times 5}$$

Minnka brotið \frac{44}{4000} eins mikið og hægt er með því að draga og stytta út 4.

$$4000\left(1+\frac{11}{1000}\right)^{4\times 5}$$

Leggðu saman 1 og \frac{11}{1000} til að fá \frac{1011}{1000}.

$$4000\times \left(\frac{1011}{1000}\right)^{4\times 5}$$

Margfaldaðu 4 og 5 til að fá út 20.

$$4000\times \left(\frac{1011}{1000}\right)^{20}$$

Reiknaðu \frac{1011}{1000} í 20. veldi og fáðu \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}.

$$4000\times \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}$$

Margfaldaðu 4000 og \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000} til að fá út \frac{1244580842783457525467556945531310914571053541431144875829201}{250000000000000000000000000000000000000000000000000000000}.

$$\frac{1244580842783457525467556945531310914571053541431144875829201}{250000000000000000000000000000000000000000000000000000000}$$

Stuðull

$$\frac{3 ^ {20} \cdot 337 ^ {20}}{2 ^ {55} \cdot 5 ^ {57}} = 4978\frac{8.084278345755884 \times 10^{55}}{2.5 \times 10^{56}} = 4978.32337113383$$