Solve (15^71)%3841

$$( { 15 }^{ 71 } ) \% 3841$$

Evaluate

$$\frac{48863400989597986262380558995560542067778850815196189927291925414465367794036865234375}{4}=1.221585025 \cdot 10^{85}$$

Solution Steps

Calculate 15 to the power of 71 and get 318038277724537791345877108796931411532015430976283454356234869919717311859130859375.

$$\frac{318038277724537791345877108796931411532015430976283454356234869919717311859130859375}{100}\times 3841$$

Reduce the fraction \frac{318038277724537791345877108796931411532015430976283454356234869919717311859130859375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{12721531108981511653835084351877256461280617239051338174249394796788692474365234375}{4}\times 3841$$

Express \frac{12721531108981511653835084351877256461280617239051338174249394796788692474365234375}{4}\times 3841 as a single fraction.

$$\frac{12721531108981511653835084351877256461280617239051338174249394796788692474365234375\times 3841}{4}$$

Multiply 12721531108981511653835084351877256461280617239051338174249394796788692474365234375 and 3841 to get 48863400989597986262380558995560542067778850815196189927291925414465367794036865234375.

$$\frac{48863400989597986262380558995560542067778850815196189927291925414465367794036865234375}{4}$$

Factor

$$\frac{3 ^ {71} \cdot 5 ^ {69} \cdot 23 \cdot 167}{2 ^ {2}} = 1.2215850247399498 \times 10^{85}$$