Question
Answer
$$\dfrac{10}{\sqrt{5}^4}=\dfrac{2}{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{10}{\sqrt{5}^4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{10}{25} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}} \frac{ 10 : \color{orangered}{ 5 } }{ 25 : \color{orangered}{ 5 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{2}{5}\end{aligned} $$ | |
| ① | $$ \sqrt{5}^4 =
\left( \sqrt{5} ^2 \right)^{ 2 } =
\lvert 5 \rvert ^{ 2 } =
25 $$ |
| ② | Divide both the top and bottom numbers by $ \color{orangered}{ 5 } $. |
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