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Simplify and write in exponential form{9⁸×(x²)⁵}/(27)⁴×(x³)²​

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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

User Sergii Shcherbak
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