Final answer:
After evaluating the expression using exponent rules and order of operations, the result is -5 1/6 or in improper fraction -31/6. The original expression seems to be missing parentheses that would affect the answer.
Step-by-step explanation:
To solve the expression evaluate (-1)^8 + (-1)^7 - 1 / 6 - 1 * 4 - (-1)^2, we first need to address each individual exponent and then follow the order of operations (PEMDAS/BODMAS).
- Exponents: (-1)^8 = 1 (since any negative number raised to an even power equals 1), (-1)^7 = -1 (since any negative number raised to an odd power equals -1), and (-1)^2 = 1 (also becomes positive for an even exponent).
- Operations: Now substitute the exponents back into the expression and solve:
1 (from (-1)^8) + (-1) (from (-1)^7) - 1 / 6 - 4 (from 1*4) - 1 (from (-1)^2) - Simplifying in the correct order:
1 + (-1) - 1/6 - 4 - 1 = 1 - 1 - 1/6 - 4 - 1
0 - 1/6 - 4 - 1
-1/6 - 5
Now, combining the whole number and the fraction, we get:
-5 1/6, which in improper fraction form is -31/6. If we were expecting a whole number answer, we might have lost a parenthesis or made an error in the original question as received.