Asked by TheOGBlurryface
To simplify this expression, 6x^4⋅3x^2
which would be the correct steps?
which would be the correct steps?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \( 6x^4 \cdot 3x^2 \), you can follow these steps:
1. **Multiply the coefficients**: Multiply the numerical coefficients together. In this case, you have \( 6 \) and \( 3 \).
\[
6 \cdot 3 = 18
\]
2. **Multiply the variable parts**: When multiplying terms with the same base, you add the exponents. Here, \( x^4 \) and \( x^2 \) will be multiplied:
\[
x^4 \cdot x^2 = x^{4+2} = x^6
\]
3. **Combine the results**: Bring together the coefficients and the variables:
\[
6x^4 \cdot 3x^2 = 18x^6
\]
So the simplified expression is:
\[
\boxed{18x^6}
\]
1. **Multiply the coefficients**: Multiply the numerical coefficients together. In this case, you have \( 6 \) and \( 3 \).
\[
6 \cdot 3 = 18
\]
2. **Multiply the variable parts**: When multiplying terms with the same base, you add the exponents. Here, \( x^4 \) and \( x^2 \) will be multiplied:
\[
x^4 \cdot x^2 = x^{4+2} = x^6
\]
3. **Combine the results**: Bring together the coefficients and the variables:
\[
6x^4 \cdot 3x^2 = 18x^6
\]
So the simplified expression is:
\[
\boxed{18x^6}
\]
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