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Simplify. Rewrite the expression in the form 3^(n). 3^(4)*3^(2)=

Simplify.\newlineRewrite the expression in the form 3n 3^{n} .\newline34⋅32= 3^{4} \cdot 3^{2}=

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Full solution

Q. Simplify.\newlineRewrite the expression in the form 3n 3^{n} .\newline34⋅32= 3^{4} \cdot 3^{2}=
  1. Multiply Same Base: When we multiply powers with the same base, we add the exponents. So, 34×323^{4}\times3^{2} becomes 34+23^{4+2}.
  2. Add Exponents: Now, add the exponents: 4+24 + 2 equals 66.
  3. Final Simplification: So, 34×323^{4}\times3^{2} simplifies to 363^{6}.

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