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Answer :
To simplify the expression [tex](2x^2)(3x^3)[/tex], you should follow these steps:
Multiply the coefficients:
- The coefficients in the given expression are 2 and 3.
- Multiply them together: [tex]2 \times 3 = 6[/tex].
Add the exponents of the same base:
- When multiplying expressions with the same base, you add the exponents.
- The base here is [tex]x[/tex], with exponents 2 and 3.
- Add the exponents: [tex]2 + 3 = 5[/tex].
Combine the results:
- Combine the multiplied coefficients and the new exponent: [tex]6x^5[/tex].
Therefore, the simplified expression is [tex]6x^5[/tex].
The correct option from the given multiple choices is:
- [tex]6x^5[/tex].
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