Question
Simplify. Your answer should contain only positive exponents. 6r.5r to the power of2
Answers
GPT-4o mini
To simplify the expression \( 6r \cdot 5r^2 \), follow these steps:
1. Multiply the coefficients (the numbers in front):
\[
6 \cdot 5 = 30
\]
2. For the variable \( r \), you can combine the exponents. Since \( r \) is the same in both terms, you add the exponents:
\[
r^{1} \cdot r^{2} = r^{1+2} = r^{3}
\]
Combining both results, the simplified expression is:
\[
30r^3
\]
So, the final answer is:
\[
30r^3
\]
1. Multiply the coefficients (the numbers in front):
\[
6 \cdot 5 = 30
\]
2. For the variable \( r \), you can combine the exponents. Since \( r \) is the same in both terms, you add the exponents:
\[
r^{1} \cdot r^{2} = r^{1+2} = r^{3}
\]
Combining both results, the simplified expression is:
\[
30r^3
\]
So, the final answer is:
\[
30r^3
\]