Question

$$3 ^ { 3 } - 5 ( 2 - 3 ) ^ { 2 } + ( 2 \lt - 3 ) ^ { 2020 }$$

Answer

$$436+8.2951572889070*10^12$$

Solution


Simplify  \(2-3\)  to  \(-1\).
\[{20243}^{3}-5{(-1)}^{2}+{(24-3)}^{2}\]
Simplify  \(24-3\)  to  \(21\).
\[{20243}^{3}-5{(-1)}^{2}+{21}^{2}\]
Simplify  \({20243}^{3}\)  to  \(8.295157\times {10}^{12}\).
\[8.295157\times {10}^{12}-5{(-1)}^{2}+{21}^{2}\]
Since the power of 2 is even, the result will be positive.
\[8.295157\times {10}^{12}-5\times {1}^{2}+{21}^{2}\]
Simplify  \({1}^{2}\)  to  \(1\).
\[8.295157\times {10}^{12}-5\times 1+{21}^{2}\]
Simplify  \({21}^{2}\)  to  \(441\).
\[8.295157\times {10}^{12}-5\times 1+441\]
Simplify  \(5\times 1\)  to  \(5\).
\[8.295157\times {10}^{12}-5+441\]
Simplify  \(8.295157\times {10}^{12}-5\)  to  \(8.295157\times {10}^{12}-5\).
\[436+8.295157\times {10}^{12}\]