Answer :
Sure! Let's simplify the expression [tex]\(4x^3 \times 2x^3\)[/tex] step by step.
1. Multiply the Coefficients:
- In the expression [tex]\(4x^3 \times 2x^3\)[/tex], the coefficients (numbers in front of the variables) are 4 and 2.
- Multiply these coefficients: [tex]\(4 \times 2 = 8\)[/tex].
2. Apply the Properties of Exponents:
- The expression has the variable [tex]\(x\)[/tex] raised to powers: [tex]\(x^3\)[/tex] and [tex]\(x^3\)[/tex].
- When you multiply variables with the same base, you add their exponents: [tex]\(x^3 \times x^3 = x^{3+3} = x^6\)[/tex].
3. Combine the Results:
- Put the coefficient and the new exponent together to form the simplified expression: [tex]\(8x^6\)[/tex].
So, the simplified expression for [tex]\(4x^3 \times 2x^3\)[/tex] is [tex]\(8x^6\)[/tex], which matches option (A).
1. Multiply the Coefficients:
- In the expression [tex]\(4x^3 \times 2x^3\)[/tex], the coefficients (numbers in front of the variables) are 4 and 2.
- Multiply these coefficients: [tex]\(4 \times 2 = 8\)[/tex].
2. Apply the Properties of Exponents:
- The expression has the variable [tex]\(x\)[/tex] raised to powers: [tex]\(x^3\)[/tex] and [tex]\(x^3\)[/tex].
- When you multiply variables with the same base, you add their exponents: [tex]\(x^3 \times x^3 = x^{3+3} = x^6\)[/tex].
3. Combine the Results:
- Put the coefficient and the new exponent together to form the simplified expression: [tex]\(8x^6\)[/tex].
So, the simplified expression for [tex]\(4x^3 \times 2x^3\)[/tex] is [tex]\(8x^6\)[/tex], which matches option (A).
