Solve (10.344*0.13)div1-(1div1.13^5)

$$(10.344 \times 0.13) \div 1-(1 \div { 1.13 }^{ 5 } )$$

Evaluate

$$\frac{184694929288537}{230304397412500}\approx 0.801960064$$

Solution Steps

Multiply 10.344 and 0.13 to get 1.34472.

$$\frac{1.34472}{1}-\frac{1}{1.13^{5}}$$

Anything divided by one gives itself.

$$1.34472-\frac{1}{1.13^{5}}$$

Calculate 1.13 to the power of 5 and get 1.8424351793.

$$1.34472-\frac{1}{1.8424351793}$$

Expand \frac{1}{1.8424351793} by multiplying both numerator and the denominator by 10000000000.

$$1.34472-\frac{10000000000}{18424351793}$$

Convert decimal number 1.34472 to fraction \frac{134472}{100000}. Reduce the fraction \frac{134472}{100000} to lowest terms by extracting and canceling out 8.

$$\frac{16809}{12500}-\frac{10000000000}{18424351793}$$

Least common multiple of 12500 and 18424351793 is 230304397412500. Convert \frac{16809}{12500} and \frac{10000000000}{18424351793} to fractions with denominator 230304397412500.

$$\frac{309694929288537}{230304397412500}-\frac{125000000000000}{230304397412500}$$

Since \frac{309694929288537}{230304397412500} and \frac{125000000000000}{230304397412500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{309694929288537-125000000000000}{230304397412500}$$

Subtract 125000000000000 from 309694929288537 to get 184694929288537.

$$\frac{184694929288537}{230304397412500}$$

Factor

$$\frac{22229 \cdot 8308737653}{2 ^ {2} \cdot 5 ^ {5} \cdot 113 ^ {5}} = 0.8019600640005518$$