Question 81 (d)

Express each of the following in single exponential form.
$(- 5)^{5} \times (- 5)$

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Solution

We have, $(- 5)^{5} \times (- 5) = (- 5)^{5 + 1} = (- 5)^{6} [∵ a^{m} \times a^{n} = a^{m + n}]$
$= (- 1 \times 5)^{6} = (- 1)^{6} \times (5)^{6} [∵ (a \times b)^{m} = a^{m} \times b^{m}] = 1 \times 5^{6} [∵ (- 1)^{n} = 1, i f n i s e v e n] = 5^{6}$

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