Question

3 की घात 98 में 5 का भाग देने पर क्या आएगा। संपूर्ण विधि एवं शार्ट ट्रिक भी बताये

Answer 1

Write your question in English.

Answer 2

Answer:

$\bf3^{98}=-1\textbf{ mod 5}$

Step-by-step explanation:

As 3² = 9

So, write 98 as 2 × 49 and replace 3² by 9

$\implies 3^{98}=3^{2\times 49}= 9 ^{49}$

Now, when 9 is divided by 5 we get -1. Hence replace 9 by -1 in the above expression. We get ,

$\implies 9^{49}=(-1)^{49}=-1\\\\\bf\textbf{Hence, }3^{98}=-1\textbf{ mod 5}$

Hence, we get the required answer as -1