Final answer:
To simplify the expression (-3x³)(-2x²), we multiply the coefficients and add the exponents of the same base, resulting in the answer 6x⁵.
Step-by-step explanation:
The question asks to simplify the expression (-3x³)(-2x²) using the laws of exponents. To solve this, you need to apply the product rule for exponents, which states that when you multiply two exponentials with the same base, you add the exponents together.
First, let's look at the coefficients: (-3) multiplied by (-2) gives us a positive 6 since the product of two negative numbers is positive.
Now, apply the exponent rule: x³ times x² is x to the power of (3+2), which is x⁵.
Combining both the coefficient and the variables, we get the simplified expression 6x⁵.
Therefore, the correct answer is (a) 6x⁵.