Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
270^{270}=10^{270}\times 27^{270}
130^{130}=10^{130}\times 13^{130}

That means 270^{270} ends with  270 zeroes and 130^{130}  ends with 130 zeroes . Notice that the right most non-zero digit is not affected by the first number. The problem reduces to finding the last digit of 13^{130} :

13^{130}\equiv 3^{130}=9^{65}\equiv (-1)^{65}=-1\equiv 9\pmod{10}

Therefore the last non-zero digit of 270^{270}+130^{130} is 9
1 5 1
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts