Final answer:
To multiply (3x^2)(3x^2)(3x^2), multiply the coefficients (3 × 3 × 3 = 27) and add the exponents (2 + 2 + 2 = 6), resulting in the final answer of 27x^6.
Step-by-step explanation:
To multiply the coefficient of the exponents (3x2)(3x2)(3x2), we can first consider the rule for the multiplication of exponentials which states that when multiplying exponential terms with the same base, you can add the exponents and multiply the coefficients in the usual way. In this example, each term has the same base, which is 'x', and the same exponent, which is '2'.
First, we multiply the coefficients (which are the numbers in front of the exponential terms): 3 × 3 × 3, which equals 27.
Next, we add the exponents of the 'x' terms: 2 + 2 + 2, which equals 6.
Therefore, the final result of multiplying (3x2) three times is 27x6.