Answer:
36 x^13 y^7
Explanation:
Simplify the following:
4 x^3 y^5 (3 x^5 y)^2
Multiply each exponent in 3 x^5 y by 2:
4 x^3 y^5×3^2 x^(2×5) y^2
2×5 = 10:
4×3^2 x^3 y^5 x^10 y^2
3^2 = 9:
4×9 x^3 y^5 x^10 y^2
4 x^3 y^5×9 x^10 y^2 = 4 x^(3 + 10) y^(5 + 2)×9:
4×9 x^(3 + 10) y^(5 + 2)
5 + 2 = 7:
4×9 x^(3 + 10) y^7
3 + 10 = 13:
4×9 x^13 y^7
4×9 = 36:
Answer: 36 x^13 y^7