Question

$$\times { 2 }^{ 2 } { 1 }^{ 2 } 2$$

Answer

$$8*^2$$

Solution


Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{2}\times {2}^{2}\times {1}^{2}\times 2\]
Simplify  \({2}^{2}\)  to  \(4\).
\[{}^{2}\times 4\times {1}^{2}\times 2\]
Simplify  \({1}^{2}\)  to  \(1\).
\[{}^{2}\times 4\times 1\times 2\]
Simplify.
\[8{}^{2}\]