Question
Apply the Product Rule of Exponents to solve and simplify 33⋅32
as an equivalent expression.(1 point)
Remaining Attempts : 3
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as an equivalent expression.(1 point)
Remaining Attempts : 3
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Answers
GPT-4o mini
To apply the Product Rule of Exponents, you use the rule that states:
\[ a^m \cdot a^n = a^{m+n} \]
For the expression \( 3^3 \cdot 3^2 \), you can combine the exponents:
\[
3^3 \cdot 3^2 = 3^{3+2}
\]
Now, add the exponents:
\[
3^{3+2} = 3^5
\]
Thus, the expression \( 3^3 \cdot 3^2 \) simplifies to \( 3^5 \).
\[ a^m \cdot a^n = a^{m+n} \]
For the expression \( 3^3 \cdot 3^2 \), you can combine the exponents:
\[
3^3 \cdot 3^2 = 3^{3+2}
\]
Now, add the exponents:
\[
3^{3+2} = 3^5
\]
Thus, the expression \( 3^3 \cdot 3^2 \) simplifies to \( 3^5 \).