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Mathematics 8 Online
OpenStudy (anonymous):

The last digit of 7^243 * 9^457 is?

OpenStudy (anonymous):

@Arnab09 @experimentX

OpenStudy (lgbasallote):

7^1 ->last number 7 7^2 -> last number 9 7^3 -> last number 3 therefore since 243 is a multiple of 3 last digit of 7^ 243 is 3

OpenStudy (anonymous):

yeah, 3^^

OpenStudy (lgbasallote):

now for 9 9^1 -> last number 9 9^2 -> last number 1 9^3 -> last number 9 therefore all odd numbers have 9 at end...457 is odd so last digit is 9

OpenStudy (lgbasallote):

9 x 3 = 27//so 7 is the last digit

OpenStudy (anonymous):

in this case, 7^n..the last term will be 7, 9, 3, 1... and repeat 9^n..... 9,1..... and repeat

OpenStudy (anonymous):

@lgbasallote u r correct thxx

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