Question

HELP PLEASE: 40 POINTS

Match the following items by evaluating the expression for x = -3.

x^ -2

x ^-1

x^0

x^ 1

x^2
AND THE OPTIONS FOR EACH ONE IS -1/3, 1, 9,1/9,-3

Answer 1

x^ -2: 1/9

x^ -1: -1/3

x^0: 1

x^1: -3

x^2: 9

Really hope this helped have a good day ;)

Answer 2

Answer: The required match is

`\left(x^(-2),(1)/(9)\right);~\left(x^(-1),-(1)/(3)\right);~(x^0,1);~(x^1,-3),~(x^2,9).`

Step-by-step explanation: We are given to match the following items with the given options by evaluating the expression for x = -3.

`x^(-2),~~x^(-1),~~x^0,~~x^1,~~x^2.`

We will be using the following property of exponents :

`a^(-b)=(1)/(a^b).`

we have

`x^(-2)=(1)/(x^2)=(1)/((-3)^2)=(1)/(9),\\\\\\x^(-1)=(1)/(x)=(1)/((-3))=-(1)/(3),\\\\\\x^0=1,\\\\\\x^1=x=-3,\\\\\\x^2=(-3)^2=9.`

Thus, the required match is

`\left(x^(-2),(1)/(9)\right);~\left(x^(-1),-(1)/(3)\right);~(x^0,1);~(x^1,-3),~(x^2,9).`