Question 81

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

$a^{p} \times b^{q} = (a b)^{p q}$

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Solution

False:
$R H S = (a b)^{p q}$
Using law of exponents, $(a b)^{m} = a^{m} \times b^{m}$
$∴ (a b)^{p q} = (a)^{p q} \times (b)^{p q}$
$L H S \neq R H S$

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