SOLUTION: a. Simplify the following expressions. (-1)^1, (-1)^2, (-1)^3, (-1)^4, (-1)^5/ b. What is the sign of the final answer when the exponent is odd? When the exponent is even? c.

Algebra.Com
Question 255738: a. Simplify the following expressions. (-1)^1, (-1)^2, (-1)^3, (-1)^4, (-1)^5/
b. What is the sign of the final answer when the exponent is odd? When the exponent is even?
c. Use your answer from part (b) to simplify (-1)^19.

Found 2 solutions by checkley77, richwmiller:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
(-1)^1, (-1)^2, (-1)^3, (-1)^4, (-1)^5
-1,1,-1,1,-1
(-1)^19=-1 if the power is odd the answer is -1.

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
1 times 1 is 1 the only question is which sign.
When the number (-1) is raised to an even power (exponent) the sign is positive and when the power is odd the sign is neqative.

RELATED QUESTIONS

a.) Simplify the following expressions. (-1)^1 , (-1)^2 , (-1)^3 , (-1)^4 , (-1)^5... (answered by robertb)
1. Simplify the following expressions. (-1)^1,(-1)^2,(-1)^3,(-1)^4,(-1)^5 2. What is... (answered by checkley77)
simplify x^5/2 * x^4/3 / x -1/6, what is the final... (answered by Alan3354,Fombitz)
27 ^ -2/3 ------------- 27 ^ -1/3 This is what I have done: I moved the bottom... (answered by jim_thompson5910)
What is the co-efficient of {{{ x^10 }}} in the following expressions: (A) 1 + (1 + x) + (answered by robertb,greenestamps)
Simplify the following expressions:... (answered by MathLover1)
What is the final answer to: (7x-6x+4^2-1) +... (answered by ReadingBoosters)
What is 4 to the -1 exponent? (answered by nerdybill,Edwin McCravy)
the product (1- 1/2)(1- 1/3)(1- 1/4) (1-1/5)…(1-1/99)(1-1/100) is equal to a) 1/99 b)... (answered by jim_thompson5910)