Solve 51.1^52-1/1.1-1

$$5 \frac{ { 1.1 }^{ 52 } -1 }{ 1.1-1 }$$

Evaluate

$$7052.146599221566648653323007416678356308419408727415605$$

Solution Steps

Calculate 1.1 to the power of 52 and get 142.0429319844313329730664601483335671261683881745483121.

$$5\times \frac{142.0429319844313329730664601483335671261683881745483121-1}{1.1-1}$$

Subtract 1 from 142.0429319844313329730664601483335671261683881745483121 to get 141.0429319844313329730664601483335671261683881745483121.

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{1.1-1}$$

Subtract 1 from 1.1 to get 0.1.

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{0.1}$$

Expand \frac{141.0429319844313329730664601483335671261683881745483121}{0.1} by multiplying both numerator and the denominator by 10000000000000000000000000000000000000000000000000000.

$$5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

Express 5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000} as a single fraction.

$$\frac{5\times 1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

Multiply 5 and 1410429319844313329730664601483335671261683881745483121 to get 7052146599221566648653323007416678356308419408727415605.

$$\frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{1410429319844313329730664601483335671261683881745483121}{200000000000000000000000000000000000000000000000000}$$