Question 2(v)
Simplify and express each of the following in exponential form:
(v) $\frac{3^{7}}{3^{4} \times 3^{3}}$

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Solution

(v) $\frac{3^{7}}{3^{4} \times 3^{3}} = \frac{3^{7}}{3^{4 + 3}} = \frac{3^{7}}{3^{7}} [∵ a^{m} \times a^{n} = a^{m + n}]$
$= 3^{7 - 7} = 3^{0} = 1$

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\frac{3^{7}}{3^{4} \times 3^{3}}

Question 84 (c)

Simplify and express each of the following in exponential form.
$(3^{7} \div 3^{5})^{4}$

\frac{2^{3} \times 3^{4} \times 4}{3 \times 32}

2^{0} + 3^{0} + 4^{0}

25^{4} \div 5^{3}

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