Algebraic Techniques, SM-Bank 042

Evaluate the expression \(w^2\) when:

\(w=4\) (1 mark)

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\(w=-1\) (2 marks)

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\(w=\dfrac{1}{3}\) (2 marks)

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a. \(16\)

b. \(1\)

c. \(\dfrac{1}{9}\)

Show Worked Solution

a.	\(w^2\)	\(=4^2\)
		\(=4\times 4\)
		\(=16\)

b.	\(w^2\)	\(=(-1)^2\)
		\(=(-1)\times (-1)\)
		\(=1\)

c.	\(w^2\)	\(=\bigg(\dfrac{1}{3}\bigg)^2\)
		\(=\dfrac{1}{3}\times \dfrac{1}{3}\)
		\(=\dfrac{1}{9}\)