Question

$${ \times }^{ 2 } . { \times }^{ 0 } . { \times }^{ 3 } =$$

Answer

$$^(2.+2.+3)$$

Solution


Remove parentheses.
\[{}^{2.}{}^{0.}{}^{3}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{2.}{}^{2.}{}^{0.}{}^{3}\]
Simplify  \({}^{2.}{}^{2.}\)  to  \({}^{2.+2.}\).
\[{}^{2.+2.}{}^{0.}{}^{3}\]
Simplify  \({}^{2.+2.}{}^{0.}\)  to  \({}^{2.+2.+0.}\).
\[{}^{2.+2.+0.}{}^{3}\]
Simplify  \(2.+2.\)  to  \(2.+2.\).
\[{}^{2.+2.}{}^{3}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{}^{2.+2.+3}\]