Question 78

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

$(- 7)^{- 4} \times (- 7)^{2} = (- 7)^{- 2}$

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Solution

True:

$L H S = (- 7)^{- 4} \times (- 7)^{2}$

Using the law of exponents,
$a^{m} \times a^{n} = (a)^{m + n}$

$∴ (- 7)^{- 4} \times (- 7)^{2} = (- 7)^{- 4 + 2} = (- 7)^{- 2}$

LHS = RHS

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