Question

Which expression is equivalent to (4x³,y5)(3x5y) ²?

O 24x¹³y7
O 36x137
O 36x28,6
O 144x16 12

Answer 1

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