Final answer:
To find the value of n, simplify the given expression by performing the operations according to the rules of exponents. The expression (10⁴ x 10³)/10⁵ x 10⁷ can be written as 10⁹, so n = 9.
Step-by-step explanation:
To find the value of n, we need to simplify the given expression. First, let's multiply 10⁴ by 10³, which gives us 10⁷. Then, divide 10⁷ by 10⁵, resulting in 10². Finally, multiply 10² by 10⁷. When exponents with the same base are multiplied, we add the exponents, so 2 + 7 equals 9. Therefore, the expression (10⁴ x 10³)/10⁵ x 10⁷ can be written as 10⁹, so n = 9.