Question

What value of n makes the equation true?

Answer 1

n = 10

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

Answer 2

n=10

Explanation:

You need n to be 10 because: y^20= (y^10)^2