Subjects algebra

Square Fraction 08397B

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Question: User: \left(-\dfrac{2}5\right)^2 =
1. **State the problem:** Calculate the value of $$\left(-\dfrac{2}{5}\right)^2$$. 2. **Recall the rule:** When squaring a fraction, square both the numerator and the denominator separately. 3. **Apply the formula:** $$\left(-\dfrac{2}{5}\right)^2 = \dfrac{(-2)^2}{5^2}$$ 4. **Calculate numerator and denominator:** $$(-2)^2 = (-2) \times (-2) = 4$$ $$5^2 = 5 \times 5 = 25$$ 5. **Write the fraction:** $$\dfrac{4}{25}$$ 6. **Final answer:** $$\left(-\dfrac{2}{5}\right)^2 = \dfrac{4}{25}$$