Question 66

In the following question, state whether the given statements are true (T) or false (F).

The multiplicative inverse of $(- 4)^{- 2} i s (4)^{- 2}$ .

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Solution

False

a is called the multiplicative inverse of b,
$i f a \times b = 1$
Put b $= (- 4)^{- 2}$
$∴ a \times (- 4)^{- 2} = 1 [a^{- m} = \frac{1}{a^{m}}] \Rightarrow a = \frac{1}{(- 4)^{- 2}} = (- 4)^{2}$

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