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dlinn [17]
2 years ago
10

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

Mathematics
2 answers:
nika2105 [10]2 years ago
4 0
-3^-3=1/(-3^3)=-1/27 maybe a typo, because you don't have this as an option
could have been -3^-2=1/(-3^2)=1/9

-3^-1=1/(-3^1)=-1/3

-3^0=1

-3^1=-3

-3^2=9
-Dominant- [34]2 years ago
4 0

Answer:

The values of given expression at x=-3 are x^{-3}= -\frac{1}{27}, x^{-1}=-\frac{1}{3}, x^{0}=1, x^{1}=-3 and x^{2}=9.

Step-by-step explanation:

We need to find the value of each expression at x=-3.

The given expression is

x^{-3}

It can be written as

x^{-3}=\frac{1}{x^3}                     [\because x^{-n}=\frac{1}{x^n}]

Substitute x=-3 in the above expression.

x^{-3}=\frac{1}{(-3)^3}\Rightarrow -\frac{1}{27}

Similarly,

x^{-1}=\frac{1}{x}\Rightarrow -\frac{1}{3}

x^{0}=1                   [\because x^{0}=1]

x^{1}=(-3)^1=-3

x^{2}=(-3)^2=9

Therefore the values of given expression at x=-3 are x^{-3}= -\frac{1}{27}, x^{-1}=-\frac{1}{3}, x^{0}=1, x^{1}=-3 and x^{2}=9.

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