Question
Answer
$$\dfrac{2^2}{2^3}\cdot2^5=16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{2^2}{2^3}\cdot2^5& \xlongequal{ }\frac{2^2}{2^3}\cdot32 \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{4}{8}\cdot32 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{ 4 : \color{orangered}{ 4 } }{ 8 : \color{orangered}{ 4 }} \cdot 32 \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{2}\cdot32 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 4 } $. |
| ② | Multiply $ \dfrac{1}{2} $ by $ 32 $ to get $ 16$. Write $ 32 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Cancel down by $ \color{blue}{2} $ $$ \begin{aligned} \frac{1}{2} \cdot 32 & = \frac{1}{2} \cdot \frac{32}{\color{red}{1}} = \frac{32 : \color{blue}{2}}{2 : \color{blue}{2}} = \\[1ex] &= \frac{16}{1} =16 \end{aligned} $$ |
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