Question

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

Answer 1

Answer:

1)  $-4$

2) $-3$

3) $1$

4) $-2$

5) $4$

Step-by-step explanation:

According to the information given in the exercise, the value of "x" is:

$x = -2$

Then:

1) You must substitute  $x = -2$ into the expresion $x-2$:

$=(-2)-2$

Now, you must evaluate:

$=-4$

2) You have to substitute the given value of "x" into the second expression:

$x-1=(-2)-1$

Finally, evaluating, you get the following result:

$=-3$

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.

Then, substituting $x = -2$ into the expression $x^0$ and then evaluating, you get:

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

4) By definition:

 $a^1=a$

Then, substituting   $x = -2$ into $x^1$ and evaluating, you get:

$x^1=(-2)^1=-2$

5) Since:

 $a^2=a*a$

When you substitute the given value of "x" into the last expression and then  you evaluate, you get:

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