Question

((-5)³xb³)⁵·(-1÷5⁴a²bx)³

Answer 1

((-5)^3*xb^3)^5*(-(1:5^4*a^2bx)^3)=-(-5^3xb^3)^5*(1/5^4*a^2bx)^3=-(-5^3)^5*x^5b^15*1/5^12*a^6b^3x^3=(-(5^3)^5)x^5b^15*1/5^12*a^6b^3x^3=(5^3)^5*x^5b^15*1/5^12*a^6b^3x^3=5^15x^5b^15*1/5^12*a^6b^3x^3=5^3x^5b^15a^6b^3x^3=125x^5b^15a^6b^3x^3=125a^6b^18x^8

Answer 2

Let's simplify the given expression step by step:

1. Simplify the first term: ((-5)³ * b³)⁵ (-5)³ = -125 b³ = b * b * b = b³ So, ((-5)³ * b³)⁵ = (-125 * b³)⁵ = (-125⁵ * b⁵) = -9,765,625 * b⁵

2. Simplify the second term: (-1 ÷ 5⁴ * a² * b * x)³ 5⁴ = 5 * 5 * 5 * 5 = 625 (-1 ÷ 625) = -1/625 a² = a * a = a² So, (-1 ÷ 5⁴ * a² * b * x)³ = (-1/625 * a² * b * x)³ = (-a² * b * x / 625)³ = (-a² * b³ * x³ / 625³)

Now, the entire expression becomes:

-9,765,625 * b⁵ * (-a² * b³ * x³ / 625³)

Finally, you can simplify this expression further, but since there are no like terms to combine, this is the simplest form of the expression.