Question

$${ \left(7 { 7 }^{ 2 } \times 3 { 377 }^{ 2 } \right) }^{ 22 }$$

Answer

$$4.2870411661647*10^179$$

Solution


Simplify  \({7}^{2}\)  to  \(49\).
\[{(7\times 49\times 3\times {377}^{2})}^{22}\]
Simplify  \({377}^{2}\)  to  \(142129\).
\[{(7\times 49\times 3\times 142129)}^{22}\]
Simplify  \(7\times 49\)  to  \(343\).
\[{(343\times 3\times 142129)}^{22}\]
Simplify  \(343\times 3\)  to  \(1029\).
\[{(1029\times 142129)}^{22}\]
Simplify  \(1029\times 142129\)  to  \(146250741\).
\[{146250741}^{22}\]
Simplify.
\[4.287041\times {10}^{179}\]