Answer
$$\frac{{a^4}^2{b^2}^5}{{a^2}^3}=\frac{a^8b^{10}}{a^6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{{a^4}^2{b^2}^5}{{a^2}^3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{a^8\cdot1b^{10}}{{a^2}^3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{a^8b^{10}}{a^6}\end{aligned} $$ | |
| ① | $$ \left( a^4 \right)^2 = 1^2 \left( a^4 \right)^2 = a^8 $$ |
| ② | $$ \left( b^2 \right)^5 = 1^5 \left( b^2 \right)^5 = b^{10} $$ |
| ③ | $$ \left( a^2 \right)^3 = 1^3 \left( a^2 \right)^3 = a^6 $$ |
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