Respuesta :
Answer
C. 10
Explanation
(2x⁹yⁿ)(4x²y¹⁰)=8x¹¹y²⁰
(2x⁹yⁿ)(4x²y¹⁰) = (2×4)(x⁹⁺²yⁿ⁺¹⁰)
= 8 × x¹¹ × y⁽ⁿ⁺¹⁰⁾
= 8x¹¹y⁽ⁿ⁺¹⁰⁾
∴ 8x¹¹y⁽ⁿ⁺¹⁰⁾ = 8x¹¹y²⁰
If the left hand side is equal to the right hand side, then;
y⁽ⁿ⁺¹⁰⁾ = y²⁰
n + 10 = 20
n = 20 - 10
= 10