Using the integers - 5 to 5, at most one time each, write an expression that will have the greatest or least absolute value

very large: (2 - (-1)) ^ (1 - (-2)) ^ (3 - (-3)) ^ (4 - (-4)) ^ (5 - (-5)) ^0 smallest: 0 (5+4+3+2+1 + (-1) + (-2) + (-3) + (-4) + (-5)) = 0

Step-by-step explanation:

Exponentiation gets you to large numbers really fast. This may not be the largest possible with these numbers, but it is certainly very large.

(2 - (-1)) ^ (1 - (-2)) ^ (3 - (-3)) ^ (4 - (-4)) ^ (5 - (-5)) ^0

Exponents are evaluated right to left, so this becomes ...

3^3^6^8^10 = 3^3^6^1073741824

The next level of evaluation, 6^1073741824, is a number with more than 835 million digits. I cannot compute the number of digits in the final value of this expression.

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Of course, the smallest magnitude is achieved by multiplying by 0.

smallest = 0· (5 + 4 + 3 + 2 + 1 + (-1) + (-2) + (-3) + (-4) + (-5)) = 0