Solve 30700*{left(1+0.08/2right)}^8*2

$$30700 \times { \left(1+ \frac{ 0.08 }{ 2 } \right) }^{ 8 \times 2 }$$

Evaluate

$$57500.524243824803967606085409308672$$

Solution Steps

Expand \frac{0.08}{2} by multiplying both numerator and the denominator by 100.

$$30700\left(1+\frac{8}{200}\right)^{8\times 2}$$

Reduce the fraction \frac{8}{200} to lowest terms by extracting and canceling out 8.

$$30700\left(1+\frac{1}{25}\right)^{8\times 2}$$

Add 1 and \frac{1}{25} to get \frac{26}{25}.

$$30700\times \left(\frac{26}{25}\right)^{8\times 2}$$

Multiply 8 and 2 to get 16.

$$30700\times \left(\frac{26}{25}\right)^{16}$$

Calculate \frac{26}{25} to the power of 16 and get \frac{43608742899428874059776}{23283064365386962890625}.

$$30700\times \frac{43608742899428874059776}{23283064365386962890625}$$

Multiply 30700 and \frac{43608742899428874059776}{23283064365386962890625} to get \frac{53551536280498657345404928}{931322574615478515625}.

$$\frac{53551536280498657345404928}{931322574615478515625}$$

Factor

$$\frac{307 \cdot 2 ^ {18} \cdot 13 ^ {16}}{5 ^ {30}} = 57500\frac{4.882401086506281 \times 10^{20}}{9.313225746154785 \times 10^{20}} = 57500.52424382481$$