Question

(2/9x2y)²*(9xy²)² =????​

Answer 1

Ответ:

6 561×24x

Объяснение:

(2÷9x2y)²×(9xy²)² = (9×x×y)×(9×x×y)×(9×x×y×y)×(9×x×y×y)=27×4x×6x=6 561×24x

Answer 2

To simplify the expression (2/9x^2y)^2 * (9xy^2)^2, you'll need to apply the rules of exponents.

First, square each term separately:

(2/9x^2y)^2 = (4/81x^4y^2)

(9xy^2)^2 = 81x^2y^4

Now, multiply the squared expressions together:

(4/81x^4y^2) * (81x^2y^4)

Now, multiply the constants and combine the like terms:

(4/81 * 81) * (x^4 * x^2) * (y^2 * y^4)

The constants simplify:

(4/81 * 81) = 4

Now, apply the exponent rules for multiplying like bases:

x^4 * x^2 = x^(4+2) = x^6

y^2 * y^4 = y^(2+4) = y^6

So, the simplified expression is:

4 * x^6 * y^6

Therefore, (2/9x^2y)^2 * (9xy^2)^2 = 4x^6y^6.