Question

( 5x^2 / 4y ^ 3 )^ 2: 25x ^ 6 / 16y ^ 5

Answer 1

..= 25x^4/16у^5 : 25х^6 /16у^5 = 25х^4 * 16у^5 / 16у^5 * 25х^6 (вычеркиваем 25х^4 и оба 16у^5 , во второй строке вычеркиваем 6 ) = 1/ 25х^2

Answer 2

To simplify the expression, we need to raise each term inside the parentheses to the power of 2:

(5x^2/4y^3)^2 = (5x^2)^2 / (4y^3)^2

Simplifying the denominators:

(5x^2)^2 / (4y^3)^2 = 25x^4 / 16y^6

Now, we can simplify the expression by raising it to a single power:

(25x^4 / 16y^6)^1 = 25x^4 / 16y^6

Therefore, the simplified expression is 25x^4 / 16y^6.