Question

(5x^2y^3)^2×1/25x^3y^4​

Answer 1

(5x^2y^3)^2×1/25x^3y^4 = 25х^4у^6 × 1/25х^3у4 = х^4у^6х^3у^4 = х^7у^10

Answer 2

To simplify the expression $(5x^2y^3)^2 \cdot \frac{1}{25x^3y^4}$, you can follow these steps:

Step 1: Square the term inside the first set of parentheses:

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

Step 2: Rewrite the expression with the squared term:

$25x^4y^6 \cdot \frac{1}{25x^3y^4}$

Step 3: Cancel out common factors in the numerator and denominator:

$25$ in the numerator and $25$ in the denominator can be canceled out:

$\frac{x^4y^6}{x^3y^4}$

Step 4: Apply the rule of exponents when dividing like bases (x and y):

$x^4 / x^3 = x^{4-3} = x$

$y^6 / y^4 = y^{6-4} = y^2$

So the final simplified expression is:

$xy^2$