Question

Алгебра, 8 класс Вычислить: (3x^2y^-3/z)^2 : (3x)^2z^-2/y^5 пожалуйста(

Answer 1

Решение смотри на фото

Answer 2

Calculating the Expression

To calculate the given expression: (3x^2y^-3/z)^2 / (3x)^2z^-2/y^5, we can follow the order of operations and simplify the expression step by step.

1. Simplify the Numerator: - The numerator is (3x^2y^-3/z)^2. - To simplify, we square each term inside the parentheses.

2. Simplify the Denominator: - The denominator is (3x)^2z^-2/y^5. - We square the term 3x and simplify the rest of the terms.

3. Divide the Numerator by the Denominator: - After simplifying the numerator and denominator, we divide the numerator by the denominator.

Let's proceed with the calculations.

Simplifying the Numerator

The numerator is (3x^2y^-3/z)^2.

The expression can be simplified as follows: - (3x^2y^-3/z)^2 = 9x^4y^-6/z^2.

Simplifying the Denominator

The denominator is (3x)^2z^-2/y^5.

The expression can be simplified as follows: - (3x)^2z^-2/y^5 = 9x^2z^-2/y^5.

Dividing the Numerator by the Denominator

Now, we divide the simplified numerator by the simplified denominator: - (9x^4y^-6/z^2) / (9x^2z^-2/y^5).

After simplifying, we get: - (9x^4y^-6/z^2) / (9x^2z^-2/y^5) = x^2y^-6z^3.

So, the value of the given expression (3x^2y^-3/z)^2 / (3x)^2z^-2/y^5 is x^2y^-6z^3.