Solve 1+1-(100268)^-4/0.0268

$$1 + \frac { 1 - ( 100268 ) ^ { - 4 } } { 0.0268 }$$

Evaluate

$$\frac{64865726527605761766223}{1693028312173582406848}\approx 38.313432836$$

Solution Steps

Calculate 100268 to the power of -4 and get \frac{1}{101076317144691486976}.

$$1+\frac{1-\frac{1}{101076317144691486976}}{0.0268}$$

Subtract \frac{1}{101076317144691486976} from 1 to get \frac{101076317144691486975}{101076317144691486976}.

$$1+\frac{\frac{101076317144691486975}{101076317144691486976}}{0.0268}$$

Express \frac{\frac{101076317144691486975}{101076317144691486976}}{0.0268} as a single fraction.

$$1+\frac{101076317144691486975}{101076317144691486976\times 0.0268}$$

Multiply 101076317144691486976 and 0.0268 to get 2708845299477731850.9568.

$$1+\frac{101076317144691486975}{2708845299477731850.9568}$$

Expand \frac{101076317144691486975}{2708845299477731850.9568} by multiplying both numerator and the denominator by 10000.

$$1+\frac{1010763171446914869750000}{27088452994777318509568}$$

Reduce the fraction \frac{1010763171446914869750000}{27088452994777318509568} to lowest terms by extracting and canceling out 16.

$$1+\frac{63172698215432179359375}{1693028312173582406848}$$

Add 1 and \frac{63172698215432179359375}{1693028312173582406848} to get \frac{64865726527605761766223}{1693028312173582406848}.

$$\frac{64865726527605761766223}{1693028312173582406848}$$

Factor

$$\frac{31 \cdot 17489 \cdot 2394787 \cdot 49959918731}{67 \cdot 2 ^ {6} \cdot 7 ^ {4} \cdot 3581 ^ {4}} = 38\frac{5.306506650096302 \times 10^{20}}{1.6930283121735825 \times 10^{21}} = 38.3134328358209$$