QuestionJuly 18, 2025

Simplify: (x^3)/(x^5) x^2 x^(3)/(5) (1)/(x^2) (1)/(x)

Simplify: (x^3)/(x^5) x^2 x^(3)/(5) (1)/(x^2) (1)/(x)
Simplify: (x^3)/(x^5) x^2 x^(3)/(5) (1)/(x^2) (1)/(x)

Solution
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Answer

1 Explanation 1. Simplify the Fraction Use the property of exponents: \frac{a^m}{a^n} = a^{m-n}. Here, \frac{x^3}{x^5} = x^{3-5} = x^{-2}. 2. Multiply by x^2 Multiply x^{-2} by x^2: x^{-2} \cdot x^2 = x^{-2+2} = x^0. 3. Simplify x^0 Any number to the power of 0 is 1: x^0 = 1.

Explanation

1. Simplify the Fraction<br /> Use the property of exponents: $\frac{a^m}{a^n} = a^{m-n}$. Here, $\frac{x^3}{x^5} = x^{3-5} = x^{-2}$.<br />2. Multiply by $x^2$<br /> Multiply $x^{-2}$ by $x^2$: $x^{-2} \cdot x^2 = x^{-2+2} = x^0$.<br />3. Simplify $x^0$<br /> Any number to the power of 0 is 1: $x^0 = 1$.
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