Final answer:
To simplify the given expression, we broke it down into numbers and variables. Simplifying each separately, we get 3⁸ and x¹⁴ respectively. Hence, the simplified exponential form is 3⁸x¹⁴.
Step-by-step explanation:
To simplify the given expression {9⁸×(x²)⁵}/(27)⁴×(x³)² into an exponential form, we will segregate the numbers and variables and deal with them separately.
First, Let's simplify the numbers.
9⁸/27⁴ = (3²)⁸/(3³)⁴ = 3^(2*8 - 3*4) = 3⁸.
Then, Let's simplify the variables.
(x²)⁵×(x³)² = x^(2*5 + 3*2) = x¹⁴ .
Combine both parts for the final answer
Therefore, the simplified exponential form is 3⁸x¹⁴.
Learn more about Simplifying Exponents