Answer:
n = 10
Step-by-step explanation:
(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰
use the rules of exponents to simplify the expression.
2¹ x⁹ yⁿ * 4¹ x² y¹⁰
use the commutative property of multiplication
2¹ * 4¹ x⁹ x² yⁿ y¹⁰
add exponents of the same base:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰
back to original equation:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰ = 8 x¹¹ y²⁰
therefore
the value of n = 10
