Question

What value of 'n' makes the equation true?

(2x²y)(4xⁿy¹⁰) = 8x¹⁷²⁰

A) 2
B) 10
C) 30

Answer 1

To find the value of 'n' that makes the equation true, we equate the exponents

Step-by-step explanation:

To find the value of 'n' that makes the equation true, we need to solve for 'n' in the equation. We have (2x²y)(4xⁿy¹⁰) = 8x¹⁷²⁰. Using the properties of exponents, we can simplify the equation as follows: (2x²y)(4xⁿy¹⁰) = 8x¹⁷²⁰ ⟹ 8x²⁺ⁿy¹⁰ = 8x¹⁷²⁰. Now we can equate the exponents: 2 + n = 1,720. Subtracting 2 from both sides, we get n = 1,718.