Question

(-2x^5y^3)^4*(-5x^y3)^2 Выполните действия

Answer 1

Ответ:

ответ на листочке

Объяснение:

Answer 2

To simplify the expression, let's start by applying the exponent rules:

1. When raising a power to another power, we multiply the exponents.
2. When multiplying expressions with the same base, we add the exponents.

Now, let's simplify step by step:

1. (-2x^5y^3)^4 Apply the exponent 4 to each term inside the parentheses: (-2)^4 * (x^5)^4 * (y^3)^4 16 * x^(54) * y^(34) 16 * x^20 * y^12

2. (-5x^y3)^2 Apply the exponent 2 to each term inside the parentheses: (-5)^2 * (x^y3)^2 25 * x^(y3*2) 25 * x^(2y3)

Now, we have the simplified expression:

16 * x^20 * y^12 * 25 * x^(2y3)

To combine the terms with the same base, we multiply the numerical coefficients and add the exponents of x and y:

16 * 25 * x^(20 + 2y3) * y^12

Finally, multiply the numerical coefficients:

400 * x^(2y3 + 20) * y^12

So, the simplified expression is:

400 * x^(2y3 + 20) * y^12