Answer
$$sqrt27a^3b^3sqrt3a^3b^9=81a^6b^{12}q^2r^2s^2t^2$$
Explanation
| $$ \begin{aligned}sqrt27a^3b^3sqrt3a^3b^9& \xlongequal{ }27a^3b^3qrstsqrt3a^3b^9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}27a^3b^3q^2r^2s^2t^23a^3b^9 \xlongequal{ } \\[1 em] & \xlongequal{ }81a^6b^{12}q^2r^2s^2t^2\end{aligned} $$ | |
| ① | $$ 27 a^3 b^3 q r s t s q r t = 27 a^{3} b^{3} q^{1 + 1} r^{1 + 1} s^{1 + 1} t^{1 + 1} = 27 a^3 b^3 q^2 r^2 s^2 t^2 $$ |
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Simplify Rational Expressions