Question
Multiply. Assume j is greater than or equal to zero, and write your answer in simplest form.
3j4
3j2
3j4
3j2
Answers
GPT-4o mini
To multiply the two expressions \(3j^4\) and \(3j^2\), you can follow these steps:
1. Multiply the coefficients (the numerical parts): \(3 \times 3 = 9\).
2. For the variable parts, you add the exponents (since they have the same base, \(j\)):
\[
j^4 \cdot j^2 = j^{4 + 2} = j^6.
\]
Putting it all together, the product of \(3j^4\) and \(3j^2\) is:
\[
9j^6.
\]
So, the answer in simplest form is:
\[
\boxed{9j^6}.
\]
1. Multiply the coefficients (the numerical parts): \(3 \times 3 = 9\).
2. For the variable parts, you add the exponents (since they have the same base, \(j\)):
\[
j^4 \cdot j^2 = j^{4 + 2} = j^6.
\]
Putting it all together, the product of \(3j^4\) and \(3j^2\) is:
\[
9j^6.
\]
So, the answer in simplest form is:
\[
\boxed{9j^6}.
\]