Question
Answer
$$\sqrt{2}^3 \cdot \dfrac{2^1}{3}=2\sqrt{2}\cdot\dfrac{2}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{2}^3\frac{2^1}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2\sqrt{2}\frac{2^1}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\sqrt{2}\cdot\frac{2}{3}\end{aligned} $$ | |
| ① | $$ \sqrt{2}^3 =
\sqrt{2} ^2 \cdot \sqrt{2} =
\lvert 2 \rvert \cdot \sqrt{2} =
2\sqrt{2} $$ |
| ② | A polynomial raised to the power of one equals itself. |
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