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Answer :
To simplify the expression [tex]\(4x^3 \times 2x^3\)[/tex], we follow these steps:
1. Multiply the Coefficients:
- The coefficients in the expression are 4 and 2.
- Multiply these together: [tex]\(4 \times 2 = 8\)[/tex].
2. Apply the Power of a Power Rule:
- We have [tex]\(x^3\)[/tex] and another [tex]\(x^3\)[/tex].
- When you multiply like bases, you add the exponents: [tex]\(x^{3+3} = x^6\)[/tex].
3. Combine Both Parts:
- Now, put the coefficient and the simplified power of [tex]\(x\)[/tex] together.
- You get: [tex]\(8x^6\)[/tex].
Thus, the simplified form of the expression [tex]\(4x^3 \times 2x^3\)[/tex] is [tex]\(\boxed{8x^6}\)[/tex]. Therefore, the correct answer is (A) [tex]\(8x^6\)[/tex].
1. Multiply the Coefficients:
- The coefficients in the expression are 4 and 2.
- Multiply these together: [tex]\(4 \times 2 = 8\)[/tex].
2. Apply the Power of a Power Rule:
- We have [tex]\(x^3\)[/tex] and another [tex]\(x^3\)[/tex].
- When you multiply like bases, you add the exponents: [tex]\(x^{3+3} = x^6\)[/tex].
3. Combine Both Parts:
- Now, put the coefficient and the simplified power of [tex]\(x\)[/tex] together.
- You get: [tex]\(8x^6\)[/tex].
Thus, the simplified form of the expression [tex]\(4x^3 \times 2x^3\)[/tex] is [tex]\(\boxed{8x^6}\)[/tex]. Therefore, the correct answer is (A) [tex]\(8x^6\)[/tex].
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