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

Answer:

Exponent rules used:

• $a^{-b}=\dfrac{1}{a^b}$
• $(-a)^b=a^b \ \ \ \textsf{if b is even}$
• $a^0=1, \ a\neq 0$

$x^{-2}=\dfrac{1}{x^2}= \dfrac{1}{(-2)^2}=\dfrac{1}{2^2}=\dfrac14$

$x^{-1} = \dfrac{1}{x}= \dfrac{1}{-2}=-\dfrac12$

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

$x^1=x =-2$

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