To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

6a² - 2a²
(6 - 2)a²
4a²

The factors of 52 are [1, 2, 4, 13, 26, 52] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 3 factors [1, 2, 4] making 4 the greatest factor 52 and 48 have in common.

You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 5% chance to win the raffle.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-9a³ x 3a⁴
(-9 x 3)a^{(3 + 4)}
-27a⁷

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.