Question

2/9x^2y^3*(1/2xy^3)^4=

Answer 1

Я поняла что^ это степень
пишу без примера
2/9x^2y^3*(1/2xy^3)^4=2/9x^2y^3*1/16x^4y^12=1/9x^2y^3*1/8x^4y^12=1/72x^6y^15

Answer 2

To simplify the expression 2/9x^2y^3*(1/2xy^3)^4, let's break it down step by step.

First, let's simplify the expression within the parentheses (1/2xy^3)^4. To raise a power to a power, we multiply the exponents, so we have (1/2xy^3)^4 = 1/2^4 * x^4 * (y^3)^4.

Simplifying further, 1/2^4 = 1/16, x^4 remains the same, and (y^3)^4 = y^(3*4) = y^12.

Now, let's substitute this simplified expression back into the original equation: 2/9x^2y^3 * (1/2xy^3)^4 = 2/9x^2y^3 * (1/16 * x^4 * y^12).

Next, we can simplify the expression by multiplying the coefficients and combining the variables with the same base. So, 2/9 * 1/16 = 1/72, x^2 * x^4 = x^(2+4) = x^6, and y^3 * y^12 = y^(3+12) = y^15.

Substituting these simplified terms back into the equation, we have 1/72 * x^6 * y^15.

Therefore, the simplified form of the expression 2/9x^2y^3*(1/2xy^3)^4 is 1/72 * x^6 * y^15.