MATH SOLVE

2 months ago

Q:
# Prove that the value of expression 9^7+3^12 is divisible by 90.Also, Prove that 25^9+5^17 is divisible by 30.Answer ASAP PLZ will be awarded brainliest answer

Accepted Solution

A:

[tex] 9^7+3^{12}=3^{14}+3^{12}=3^{12}(3^2+1)=3^{12}\cdot10=3^{10}\cdot3^2\cdot10=3^{10}\cdot90 [/tex][tex] 25^9+5^{17}=5^{18}+5^{17}=5^{17}(5+1)=5^{17}\cdot 6=5^{16}\cdot5\cdot6=5^{16}\cdot30 [/tex]