Question

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

Answer 1

Answer:

$A.\ x^{-2}=\frac{1}{4} \\\\B.\ x^{-1}=-\frac{1}{2}\\\\C.\ x^0=1\\\\D.\ x^1=-2\\\\E.\ x^2=4$

Step-by-step explanation:

In order to solve the exercise it is necessary to remember the following:

1. The Negative Exponent Rule states that:

$a^{-n}=\frac{1}{a^n}$

2. The Zero Exponent Rule states that any base with an exponent of zero is equal to one:

$a^0=1$

3. By definition, a negative base with an even exponent will give you a positive result.

4. By definition, a negative base with an odd exponent will give you a negative result.

Based on the information given above, you can substitute $x=-2$ into each given expression and then evaluate in order to get the corresponding value:

$A.\ x^{-2}=(-2)^{-2}=\frac{1}{(-2)^2}=\frac{1}{4} \\\\B.\ x^{-1}=(-2)^{-1}=\frac{1}{(-2)^1}=-\frac{1}{2}\\\\C.\ x^0=(-2)^0=1\\\\D.\ x^1=(-2)^1=-2\\\\E.\ x^2=(-2)^2=4$

Answer 2

Answer:

X^-2= 1/4

X^-1=1/2

X^0=1

X^-1 = -2

X^2=4

Step-by-step explanation:

You’ll first have to plug in (-2) into x for the given expression and using the negative power rule since we have negative exponents; x^-a = 1/x^a You’ll start to plug in x^-2 into 1/2^2 simplify 2^2 to get 4 and for x^0 the rule of zero; x^0=1 Hopes this help and make sense