Answer :
To solve the expression [tex]\(3x^2 \times 2x^3\)[/tex], follow these steps:
1. Multiply the numbers (constants):
- Take the constant terms from each part of the expression: 3 and 2.
- Multiply them together: [tex]\(3 \times 2 = 6\)[/tex].
2. Combine the powers of [tex]\(x\)[/tex]:
- Use the property of exponents that states [tex]\(x^a \times x^b = x^{a+b}\)[/tex].
- Here, the exponents are 2 and 3.
- Add the exponents: [tex]\(2 + 3 = 5\)[/tex].
- So, [tex]\(x^2 \times x^3 = x^5\)[/tex].
3. Combine everything:
- Multiply the constant result by the variable expression: [tex]\(6 \times x^5 = 6x^5\)[/tex].
Therefore, the answer is [tex]\(\boxed{6x^5}\)[/tex].
Selecting from the given options, the correct answer is (A) [tex]\(6x^5\)[/tex].
1. Multiply the numbers (constants):
- Take the constant terms from each part of the expression: 3 and 2.
- Multiply them together: [tex]\(3 \times 2 = 6\)[/tex].
2. Combine the powers of [tex]\(x\)[/tex]:
- Use the property of exponents that states [tex]\(x^a \times x^b = x^{a+b}\)[/tex].
- Here, the exponents are 2 and 3.
- Add the exponents: [tex]\(2 + 3 = 5\)[/tex].
- So, [tex]\(x^2 \times x^3 = x^5\)[/tex].
3. Combine everything:
- Multiply the constant result by the variable expression: [tex]\(6 \times x^5 = 6x^5\)[/tex].
Therefore, the answer is [tex]\(\boxed{6x^5}\)[/tex].
Selecting from the given options, the correct answer is (A) [tex]\(6x^5\)[/tex].
