Question

(1/2 m^3 n^3)^2 • (-2/3 mn^2)^3

Answer 1

Ответ:

решение на фотографии

Answer 2

Let's simplify the expression step by step:

(1/2 m^3 n^3)^2 * (-2/3 mn^2)^3

First, let's work with the exponents inside the parentheses and then apply the exponent to the entire term:

(1/2 m^3 n^3)^2 = 1^2 / (2^2) * m^(32) * n^(32) = 1/4 * m^6 * n^6

(-2/3 mn^2)^3 = (-2/3)^3 * m^(13) * n^(23) = -8/27 * m^3 * n^6

Now, let's multiply these two simplified terms together:

(1/4 * m^6 * n^6) * (-8/27 * m^3 * n^6)

When multiplying fractions, multiply the numerators together and the denominators together:

(1 * -8) / (4 * 27) * m^(6 + 3) * n^(6 + 6)

-8 / 108 * m^9 * n^12

Simplify the fraction:

-2 / 27 * m^9 * n^12

So, the simplified expression is:

-2/27 * m^9 * n^12