Subjects algebra

Simplify Fraction Square A7C5Ff

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Question: Simplify the expression. $\left(\frac{x}{7}\right)^2$ $x$
1. **State the problem:** Simplify the expression $$\left(\frac{x}{7}\right)^2$$. 2. **Recall the formula:** When you square a fraction, you square both the numerator and the denominator separately: $$\left(\frac{a}{b}\right)^2 = \frac{a^2}{b^2}$$ 3. **Apply the formula:** Here, $a = x$ and $b = 7$, so $$\left(\frac{x}{7}\right)^2 = \frac{x^2}{7^2}$$ 4. **Simplify the denominator:** $$7^2 = 49$$ 5. **Final simplified expression:** $$\frac{x^2}{49}$$ This means the square of the fraction $\frac{x}{7}$ is $\frac{x^2}{49}$. 6. **Note:** The variable $x$ alone is not simplified further here; the expression asked to simplify is the squared fraction. **Answer:** $$\frac{x^2}{49}$$