Solve 2.00000*(1+7%)^5-1/7%=

$$2.00000 \times \frac { ( 1 + 7 \% ) ^ { 5 } - 1 } { 7 \% } =$$

Evaluate

$$\frac{575073901}{50000000}=11.50147802$$

Solution Steps

Add 1 and \frac{7}{100} to get \frac{107}{100}.

$$2\times \frac{\left(\frac{107}{100}\right)^{5}-1}{\frac{7}{100}}$$

Calculate \frac{107}{100} to the power of 5 and get \frac{14025517307}{10000000000}.

$$2\times \frac{\frac{14025517307}{10000000000}-1}{\frac{7}{100}}$$

Subtract 1 from \frac{14025517307}{10000000000} to get \frac{4025517307}{10000000000}.

$$2\times \frac{\frac{4025517307}{10000000000}}{\frac{7}{100}}$$

Divide \frac{4025517307}{10000000000} by \frac{7}{100} by multiplying \frac{4025517307}{10000000000} by the reciprocal of \frac{7}{100}.

$$2\times \frac{4025517307}{10000000000}\times \frac{100}{7}$$

Multiply \frac{4025517307}{10000000000} and \frac{100}{7} to get \frac{575073901}{100000000}.

$$2\times \frac{575073901}{100000000}$$

Multiply 2 and \frac{575073901}{100000000} to get \frac{575073901}{50000000}.

$$\frac{575073901}{50000000}$$

Factor

$$\frac{31 \cdot 61 \cdot 101 \cdot 3011}{2 ^ {7} \cdot 5 ^ {8}} = 11\frac{25073901}{50000000} = 11.50147802$$