-(2x^2y)(-xy^4)
(-2r/s)(s^2/-6t)
To multiply the expressions -(2x^2y)(-xy^4), you can use the distributive property and multiply each term from the first expression by each term from the second expression. Let's break it down step by step:
1. Multiply the coefficients: -2 * -1 = 2.
2. Multiply the x-terms: x^2 * x = x^(2+1) = x^3.
3. Multiply the y-terms: y * y^4 = y^(1+4) = y^5.
So, -(2x^2y)(-xy^4) simplifies to 2x^3y^5.
Now let's move on to the expression (-2r/s)(s^2/-6t):
1. Multiply the coefficients: -2 * -1 = 2.
2. Multiply the r-terms: r * 1 = r.
3. Multiply the s-terms: s * s^2 = s^(1+2) = s^3.
4. Multiply the t-terms: 1 * -6t = -6t.
Finally, simplify the expression: (-2r/s)(s^2/-6t) becomes 2rs^3/-6t, which simplifies to -rs^3/3t.