Solve (5000*(1+12/100)^30)*30*12

$$( 5000 \times ( 1 + \frac { 12 } { 100 } ) ^ { 30 } ) \times 30 \times 12$$

Evaluate

$$\frac{14967987909575412033940042915567402151338573824}{277555756156289135105907917022705078125}=53927859.817639932$$

Solution Steps

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$5000\left(1+\frac{3}{25}\right)^{30}\times 30\times 12$$

Add 1 and \frac{3}{25} to get \frac{28}{25}.

$$5000\times \left(\frac{28}{25}\right)^{30}\times 30\times 12$$

Calculate \frac{28}{25} to the power of 30 and get \frac{25986090120790645892257018950637850957185024}{867361737988403547205962240695953369140625}.

$$5000\times \frac{25986090120790645892257018950637850957185024}{867361737988403547205962240695953369140625}\times 30\times 12$$

Multiply 5000 and \frac{25986090120790645892257018950637850957185024}{867361737988403547205962240695953369140625} to get \frac{207888720966325167138056151605102807657480192}{1387778780781445675529539585113525390625}.

$$\frac{207888720966325167138056151605102807657480192}{1387778780781445675529539585113525390625}\times 30\times 12$$

Multiply \frac{207888720966325167138056151605102807657480192}{1387778780781445675529539585113525390625} and 30 to get \frac{1247332325797951002828336909630616845944881152}{277555756156289135105907917022705078125}.

$$\frac{1247332325797951002828336909630616845944881152}{277555756156289135105907917022705078125}\times 12$$

Multiply \frac{1247332325797951002828336909630616845944881152}{277555756156289135105907917022705078125} and 12 to get \frac{14967987909575412033940042915567402151338573824}{277555756156289135105907917022705078125}.

$$\frac{14967987909575412033940042915567402151338573824}{277555756156289135105907917022705078125}$$

Factor

$$\frac{2 ^ {66} \cdot 3 ^ {2} \cdot 7 ^ {30}}{5 ^ {55}} = 53927859\frac{2.269406672412626 \times 10^{38}}{2.7755575615628914 \times 10^{38}} = 53927859.817639925$$