Answer :
Certainly! Let's break down the multiplication of the expression [tex]\(5x^9 \times 4x^2\)[/tex] step by step:
1. Multiply the Coefficients:
- The coefficients are the numbers in front of the variables. In this case, we have 5 and 4.
- To multiply the coefficients, simply multiply them as you would with any two numbers:
[tex]\[
5 \times 4 = 20
\][/tex]
2. Add the Exponents:
- The variables involved are both [tex]\(x\)[/tex] but with different exponents: [tex]\(x^9\)[/tex] and [tex]\(x^2\)[/tex].
- When you multiply variables with the same base, you add their exponents:
[tex]\[
9 + 2 = 11
\][/tex]
3. Combine the Results:
- Combine the multiplied coefficient and the variable with the new exponent:
[tex]\[
20x^{11}
\][/tex]
So, the product of [tex]\(5x^9\)[/tex] and [tex]\(4x^2\)[/tex] is [tex]\(20x^{11}\)[/tex].
1. Multiply the Coefficients:
- The coefficients are the numbers in front of the variables. In this case, we have 5 and 4.
- To multiply the coefficients, simply multiply them as you would with any two numbers:
[tex]\[
5 \times 4 = 20
\][/tex]
2. Add the Exponents:
- The variables involved are both [tex]\(x\)[/tex] but with different exponents: [tex]\(x^9\)[/tex] and [tex]\(x^2\)[/tex].
- When you multiply variables with the same base, you add their exponents:
[tex]\[
9 + 2 = 11
\][/tex]
3. Combine the Results:
- Combine the multiplied coefficient and the variable with the new exponent:
[tex]\[
20x^{11}
\][/tex]
So, the product of [tex]\(5x^9\)[/tex] and [tex]\(4x^2\)[/tex] is [tex]\(20x^{11}\)[/tex].
