Question

(3a^3b^5)^2 упростите выражение

Answer 1

(3a^3b^5)^2

3^2×(a^3)^2×(b^5)^2

9a^6 b^10

Answer 2

To simplify the expression (3a^3b^5)^2, you need to apply the power rule, which states that (a^m)^n = a^(m*n). In this case, you'll square the entire expression inside the parentheses:

(3a^3b^5)^2 = 3^2 * (a^3)^2 * (b^5)^2

Now, simplify each term inside the parentheses:

3^2 = 9 (a^3)^2 = a^(32) = a^6 (b^5)^2 = b^(52) = b^10

Now put everything back together:

(3a^3b^5)^2 = 9a^6b^10