Question

Apply the product rule to rewrite the product below using a single base and exponent then simplify: 3^2 *3^3 our base is Answerour exponent is Answerthis simplifies to Answer

Answer 1

Step-by-step explanation:

`3^2\text{ }*3^3`
`\begin{gathered} \text{The expression has same base.} \\ \text{Base = 3} \\ We\text{ take one base and bring the exponents together} \\ \text{The sign betw}en\text{ them changes from multiplication to addition} \end{gathered}`
`\begin{gathered} 3^2\text{ }*3^3\text{ = }3^{2\text{ + 3}} \\ \text{Exponent = 2 + 3} \\ \text{Exponent = 5} \end{gathered}`
`\begin{gathered} \text{Simplifying:} \\ 3^(2+3)=3^5 \\ 3^5\text{ = 243} \end{gathered}`