Problem

If a number is represented as \(2^3 \times 3^2 \times 5\), convert this number into a fraction where the numerator is the product of the factors with odd exponents and the denominator is the product of the factors with even exponents.

Solution

Step 1 :Step 1: Identify the factors with odd exponents. Here, \(2^3\) and \(5^1\) have odd exponents.

Step 2 :Step 2: Identify the factors with even exponents. Here, \(3^2\) has an even exponent.

Step 3 :Step 3: Form the fraction by placing the product of the factors with odd exponents in the numerator and the product of the factors with even exponents in the denominator. So, the fraction would be \(\frac{2^3 \times 5^1}{3^2}\).

Step 4 :Step 4: Simplify the fraction to get the final answer.

From Solvely APP
Source: https://solvelyapp.com/problems/YMTKEaLdrA/

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