Solve :
(i) $6^{15}$ $6^{10}$
(ii) $(5^{2})^{3}$ $5^{3}$

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Solution

$i) 6^{15} 6^{10} = 6^{10 + 15} = 6^{25}$ Using $a^{m} \times a^{n} = a^{m + n}$
$i i) (5^{2})^{3} 5^{3} = 5^{6} 5^{3} = 5^{6 + 3} = 5^{9}$ Using $(a^{m})^{n} = a^{m \times n}$

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Question 1(ii)
Using laws of exponents, simplify and write the answer in exponential form:
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