Step-by-step explanation:
[tex](1) \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ (2) \: \frac{ {a}^{m} }{{a}^{n}} = {a}^{m - n} \\ \\ (3) \: ({a}^{m }) ^{n} = {{a}^{m \times n }} \\ \\ (4) \: \frac{ ( {x}^{2} \times {x}^{4} )^{3}}{} \\ \\ = \frac{( {x}^{2 + 4} )^{3} }{ {x}^{8} } \\ \\ = \frac{( {x}^{6} )^{3} }{ {x}^{8} } \\ \\ = \frac{{x}^{6 \times 3} }{ {x}^{8}} \\ \\ = {x}^{18 - 8} \\ \\ = {x}^{10}[/tex]
