Question

Pls help

Match the following items by evaluating the expression for x = -2.

x ^-2


x ^-1


x ^0


x ^1


x ^2


50 points!

Answer 1

Exponent rules used:

• 
  `a^(-b)=(1)/(a^b)`
• 
  `(-a)^b=a^b \ \ \ \textsf{if b is even}`
• 
  `a^0=1, \ a\\eq 0`

`x^(-2)=(1)/(x^2)= (1)/((-2)^2)=(1)/(2^2)=\frac14`

`x^(-1) = (1)/(x)= (1)/(-2)=-\frac12`

`x^0=1\implies (-2)^0=1`

`x^1=x =-2`

`x^2=(-2)^2=2^2=4`