Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
Answer:
$57.93
Step-by-step explanation:
14 x 12 = 168
168/2.9
Answer:
n= 2/-7
Step-by-step explanation:
2/n = -7
Multiply by n: 2= -7n
Divide by -7: n= 2/-7, or n= -0.286
3x (4x^4-5x)
add all of the numbers with a x to get
12x^4
and 12x^4=
20736x
Answer: 57.5
Step-by-step explanation: The first thing you need to know about the order of operations is that multiplication and division come before addition and subtraction.
So in this problem, we are going to divide before we add.
Since 30 divided by 4 is 7.5, our next step will read 50 + 7.5 and 50 + 7.5 simplifies to 14.
