[tex](3^2 \times 3^3)^2\\\\=(3^{2+3})^2\\\\=(3^5)^2\\\\=3^{5\cdot 2} \\\\=3^{10}[/tex]
Simplify using the laws of exponents.
[tex] = ({{3}^{2} \times {3}^{3} })^{2} [/tex]
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[tex] = ({{3}^{2} \times {3}^{3} })^{2} [/tex]
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex] = ({ {3}^{5} })^{2} [/tex]
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
= [tex] {3}^{5 \times 2} [/tex]
[tex] = {3}^{10} [/tex]
