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Answer :
To solve the problem [tex]\(-8x^5 \cdot -4x^4\)[/tex], we need to follow these steps:
1. Multiply the coefficients:
- The coefficients of the terms are [tex]\(-8\)[/tex] and [tex]\(-4\)[/tex].
- When you multiply these coefficients: [tex]\(-8 \times -4 = 32\)[/tex].
2. Add the exponents of the like bases:
- The base [tex]\(x\)[/tex] is the same in both terms.
- For the exponents: [tex]\(5\)[/tex] (from [tex]\(x^5\)[/tex]) and [tex]\(4\)[/tex] (from [tex]\(x^4\)[/tex]), you add them: [tex]\(5 + 4 = 9\)[/tex].
3. Combine the results:
- The simplified form is [tex]\(32 \times x^9\)[/tex], or simply [tex]\(32x^9\)[/tex].
So, the answer is [tex]\(32x^9\)[/tex], which matches option [tex]\(C\)[/tex].
1. Multiply the coefficients:
- The coefficients of the terms are [tex]\(-8\)[/tex] and [tex]\(-4\)[/tex].
- When you multiply these coefficients: [tex]\(-8 \times -4 = 32\)[/tex].
2. Add the exponents of the like bases:
- The base [tex]\(x\)[/tex] is the same in both terms.
- For the exponents: [tex]\(5\)[/tex] (from [tex]\(x^5\)[/tex]) and [tex]\(4\)[/tex] (from [tex]\(x^4\)[/tex]), you add them: [tex]\(5 + 4 = 9\)[/tex].
3. Combine the results:
- The simplified form is [tex]\(32 \times x^9\)[/tex], or simply [tex]\(32x^9\)[/tex].
So, the answer is [tex]\(32x^9\)[/tex], which matches option [tex]\(C\)[/tex].
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