Question
Multiply. Assume v is greater than or equal to zero, and write your answer in simplest form.
21v3
21v2
21v3
21v2
Answers
GPT-4o mini
To multiply the expressions \( 21v^3 \) and \( 21v^2 \), we can follow these steps:
1. **Multiply the coefficients**: Multiply the numerical parts (coefficients):
\[
21 \times 21 = 441
\]
2. **Add the exponents of \( v \)**: When multiplying variables with the same base, you add their exponents:
\[
v^3 \times v^2 = v^{3+2} = v^5
\]
3. **Combine the results**:
\[
21v^3 \times 21v^2 = 441v^5
\]
Thus, the product of \( 21v^3 \) and \( 21v^2 \) in simplest form is:
\[
\boxed{441v^5}
\]
1. **Multiply the coefficients**: Multiply the numerical parts (coefficients):
\[
21 \times 21 = 441
\]
2. **Add the exponents of \( v \)**: When multiplying variables with the same base, you add their exponents:
\[
v^3 \times v^2 = v^{3+2} = v^5
\]
3. **Combine the results**:
\[
21v^3 \times 21v^2 = 441v^5
\]
Thus, the product of \( 21v^3 \) and \( 21v^2 \) in simplest form is:
\[
\boxed{441v^5}
\]