Question
Answer
$$31-(5-3\cdot4)^2+\dfrac{2^6}{4}=-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}31-(5-3\cdot4)^2+\frac{2^6}{4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}31-(-7)^2+\frac{2^6}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}31-49+\frac{2^6}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-18+\frac{2^6}{4} \xlongequal{ } \\[1 em] & \xlongequal{ }-18+\frac{64}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-18 + \frac{ 64 : \color{orangered}{ 4 } }{ 4 : \color{orangered}{ 4 }} \xlongequal{ } \\[1 em] & \xlongequal{ }-18+\frac{16}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}-18+16 \xlongequal{ } \\[1 em] & \xlongequal{ }-2\end{aligned} $$ | |
| ① | Combine like terms |
| ② | $ (-7) ^ 2 = 49 $ |
| ③ | Combine like terms |
| ④ | Divide both the top and bottom numbers by $ \color{orangered}{ 4 } $. |
| ⑤ | Remove 1 from denominator. |
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