9^6-11 divided by 8 would leave a remainder of
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The remainder is 6.
Step-by-step explanation:
We know that 9/8 will leave a remainder 1
From the above known statement we can write
will leave a remainder 1 …. a
Similarly 11/8 will leave a remainder 3 ….. b
So divided by 8 = rem(1)-rem(3)/8 [from equation a and b]
=rem(-2)/8
[To go for the further step we have to subtract 2 from 8 that 8-2 because the remainder is negative]
Therefore we get the solution as
=6
Hence will leave a remainder 6
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