Question 1(ix)
Using laws of exponents, simplify and write the answer in exponential form:
(ix) $(2^{20} \div 2^{15}) \times 2^{3}$

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Solution

(ix) $(2^{20} \div 2^{15}) = (2^{20 - 15}) [∵ a^{m} \div a^{n} = a^{m - n}]$
$= 2^{5} \times 2^{3} = 2^{5 + 3} = 2^{8} [∵ a^{m} \times a^{n} = a^{m + n}]$

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