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Answer :
To find the product of [tex]\(3x^5\)[/tex] and [tex]\(2x^4\)[/tex], follow these steps:
1. Multiply the coefficients:
- The coefficients in the expressions [tex]\(3x^5\)[/tex] and [tex]\(2x^4\)[/tex] are 3 and 2, respectively.
- Multiply these coefficients: [tex]\(3 \times 2 = 6\)[/tex].
2. Add the exponents:
- The exponent for [tex]\(x\)[/tex] in [tex]\(3x^5\)[/tex] is 5.
- The exponent for [tex]\(x\)[/tex] in [tex]\(2x^4\)[/tex] is 4.
- When you multiply terms with the same base, you add the exponents: [tex]\(5 + 4 = 9\)[/tex].
3. Combine the results:
- The product of the coefficients is 6.
- The sum of the exponents gives [tex]\(x^9\)[/tex].
Therefore, the product of [tex]\(3x^5\)[/tex] and [tex]\(2x^4\)[/tex] is [tex]\(6x^9\)[/tex].
The correct answer is C. [tex]\(6x^9\)[/tex].
1. Multiply the coefficients:
- The coefficients in the expressions [tex]\(3x^5\)[/tex] and [tex]\(2x^4\)[/tex] are 3 and 2, respectively.
- Multiply these coefficients: [tex]\(3 \times 2 = 6\)[/tex].
2. Add the exponents:
- The exponent for [tex]\(x\)[/tex] in [tex]\(3x^5\)[/tex] is 5.
- The exponent for [tex]\(x\)[/tex] in [tex]\(2x^4\)[/tex] is 4.
- When you multiply terms with the same base, you add the exponents: [tex]\(5 + 4 = 9\)[/tex].
3. Combine the results:
- The product of the coefficients is 6.
- The sum of the exponents gives [tex]\(x^9\)[/tex].
Therefore, the product of [tex]\(3x^5\)[/tex] and [tex]\(2x^4\)[/tex] is [tex]\(6x^9\)[/tex].
The correct answer is C. [tex]\(6x^9\)[/tex].
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