Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.
(5x2)(4x−1)2/(10y3)(2y−1)
(5x^2)(4x^-1)^2 / (10y^3)(2y^-1)
Simplifying the exponents:
(5x^2)(4^2 * x^-2) / (10y^3)(2^2 * y^-2)
Expanding the numerical portions:
(5x^2)(16 * x^-2) / (10y^3)(4 * y^-2)
Multiplying the numerical portions:
80x^2 * (16 * x^-2) / (10y^3)(4 * y^-2)
Simplifying the exponents:
80x^2 * (16 / x^2) / (10y^3)(4 / y^2)
Cancelling out common factors:
80 * 16 / 10 * (x^2 / x^2) * (y^-2 / y^3)
Simplifying the exponents:
1280 / 10 * (1) * (1 / y^5)
Multiplying the numerical portions:
1280 / 10 / y^5
Simplifying the expression:
128 / y^5