Question

evaluate -a^n when a=3 and n=2,3,4 and 5.Now evaluate (-a)^n when a=3 and n=2,3,4 and 5.Based on this sample,between -a^n and (-a)^n?

Answer 1

`-a^n`
values when a = 3 and n = 2,3,4, and 5

`-(3)^2 = -9`

`-(3)^3 = -27`

`-(3)^4 = -81`

`-(3)^5=-243`
----------------------------------- other expression

`(-a)^n`
value when a = 3 and n = 2,3,4, and 5

`(-3)^2=9`

`(-3)^3=-27`

`(-3)^4=81`

`(-3)^5=-243`


`-(a)^n \\eq (-a)^n` the two expressions only have the same value when n is an odd number. One expression is the opposite of the results of a raised to the power of n and the other is the opposite of a being raised to the power of n... what is in bold happens 1st in the order of operations