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Prove that the value of expression 9^7+3^12 is divisible by 90.Also, Prove that 25^9+5^17 is divisi...
5 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]