Question

Представьте в виде одночлена стандартного вида: 1) (-5a^3b^2)^3 * 0,04ab^2; 3) (-4x^4y)^4 * (-0,125x^2y^5).

Answer 1

1) (-5a³b²)³ * 0.04ab²=-125a⁹b⁶ * 0.04ab²=-5a¹⁰b⁸
2) (-4x⁴y)⁴ * (-0.125x²y⁵)=256x¹⁶y⁴ * (-0.125x²y⁵)=-32x¹⁸y⁹

Answer 2

1. (-5a^3b^2)^3 * 0.04ab^2 can be simplified as follows:

(-5a^3b^2)^3 * 0.04ab^2 = (-5^3 * a^3 * b^2)^3 * 0.04ab^2 = (-125a^3b^2)^3 * 0.04ab^2 = -125^3 * (a^3)^3 * (b^2)^3 * 0.04 * a * b^2 = -1,953,125a^9b^6 * 0.04ab^2 = -78,125a^10b^8

Therefore, the expression (-5a^3b^2)^3 * 0.04ab^2 simplifies to -78,125a^10b^8.

2. I'm sorry, but you skipped the second expression. If you provide it, I can help you simplify it as well.

3. (-4x^4y)^4 * (-0.125x^2y^5) can be simplified as follows:

(-4x^4y)^4 * (-0.125x^2y^5) = (-4^4 * x^4 * y)^4 * (-0.125x^2y^5) = (256x^4y)^4 * (-0.125x^2y^5) = 256^4 * (x^4)^4 * (y^4)^4 * (-0.125) * x^2 * y^5 = 4,294,967,296x^16y^16 * (-0.125x^2y^5) = -536,870,912x^18y^21

Therefore, the expression (-4x^4y)^4 * (-0.125x^2y^5) simplifies to -536,870,912x^18y^21.