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Mathematics
18.04.2020 06:51
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Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For

Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this
response coupon?
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natalie2sheffield
natalie2sheffield
4,4(11 marks)

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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