Issolvi (1+1.5%)^12-1/15%

$$\frac { ( 1 + 1.5 \% ) ^ { 12 } - 1 } { 15 \% }$$

Evalwa

$$1.3041211430769016770752673193359375$$

Passi tas-Soluzzjonijiet

Espandi \frac{1.5}{100} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{\left(1+\frac{15}{1000}\right)^{12}-1}{\frac{15}{100}}$$

Naqqas il-frazzjoni \frac{15}{1000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{\left(1+\frac{3}{200}\right)^{12}-1}{\frac{15}{100}}$$

Żid 1 u \frac{3}{200} biex tikseb \frac{203}{200}.

$$\frac{\left(\frac{203}{200}\right)^{12}-1}{\frac{15}{100}}$$

Ikkalkula \frac{203}{200} bil-power ta' 12 u tikseb \frac{4897252030306448390395044241}{4096000000000000000000000000}.

$$\frac{\frac{4897252030306448390395044241}{4096000000000000000000000000}-1}{\frac{15}{100}}$$

Naqqas 1 minn \frac{4897252030306448390395044241}{4096000000000000000000000000} biex tikseb \frac{801252030306448390395044241}{4096000000000000000000000000}.

$$\frac{\frac{801252030306448390395044241}{4096000000000000000000000000}}{\frac{15}{100}}$$

Naqqas il-frazzjoni \frac{15}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{\frac{801252030306448390395044241}{4096000000000000000000000000}}{\frac{3}{20}}$$

Iddividi \frac{801252030306448390395044241}{4096000000000000000000000000} b'\frac{3}{20} billi timmultiplika \frac{801252030306448390395044241}{4096000000000000000000000000} bir-reċiproku ta' \frac{3}{20}.

$$\frac{801252030306448390395044241}{4096000000000000000000000000}\times \frac{20}{3}$$

Immultiplika \frac{801252030306448390395044241}{4096000000000000000000000000} u \frac{20}{3} biex tikseb \frac{267084010102149463465014747}{204800000000000000000000000}.

$$\frac{267084010102149463465014747}{204800000000000000000000000}$$

Fattur

$$\frac{3 \cdot 13 \cdot 19 \cdot 31 \cdot 73 \cdot 281 \cdot 2137 \cdot 40609 \cdot 22600297 \cdot 17 ^ {2}}{2 ^ {34} \cdot 5 ^ {23}} = 1\frac{6.228401010214945 \times 10^{25}}{2.0479999999999996 \times 10^{26}} = 1.3041211430769017$$