<p>$a,\,b&gt;0$ <strong>and</strong> $m,\,n\in \mathbb{Q}$ <strong>(Rational Numbers) </strong></p>
<div class="content-block content-block--columns"><div class="question-columns question-columns--2" data-layout="2"><div class="question-column" style="flex: 1; align-self: center;"><ol class="num-list"><li><div class="list-item-paragraph">${{a}^{m}}\times {{a}^{n}}={{a}^{m+n}}$</div></li><li><div class="list-item-paragraph">${{a}^{m}}\div {{a}^{n}}={{a}^{m-n}}$</div></li><li><div class="list-item-paragraph">${{({{a}^{m}})}^{n}}={{a}^{mn}}$</div></li><li><div class="list-item-paragraph">${{a}^{m}}\times {{b}^{m}}={{\left( ab \right)}^{m}}$</div></li></ol></div><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="num-list" start="5"><li><div class="list-item-paragraph">$\frac{{{a}^{m}}}{{{b}^{m}}}={{\left( \frac{a}{b} \right)}^{m}}$</div></li><li><div class="list-item-paragraph">${{a}^{0}}=1$</div></li><li><div class="list-item-paragraph">$\sqrt[m]{a}={{a}^{\frac{1}{m}}}$</div></li><li><div class="list-item-paragraph">${{a}^{-n}}=\frac{1}{{{a}^{n}}}$<br></div></li></ol></div></div></div>

$a,\,b>0$ **and** $m,\,n\in \mathbb{Q}$ **(Rational Numbers) **

Laws of Indices

Laws of Indices