Math Problem Statement

Evaluate -(2/5)to the second power

Solution

To evaluate (25)2-\left(\frac{2}{5}\right)^2:

  1. Square the fraction 25\frac{2}{5}: (25)2=2252=425\left(\frac{2}{5}\right)^2 = \frac{2^2}{5^2} = \frac{4}{25}

  2. Apply the negative sign: (425)=425-\left(\frac{4}{25}\right) = -\frac{4}{25}

So, (25)2=425-\left(\frac{2}{5}\right)^2 = -\frac{4}{25}.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions:

  1. What is the square of (37)\left(\frac{3}{7}\right)?
  2. How do you handle negative exponents in fractions?
  3. What is (49)3-\left(\frac{4}{9}\right)^3?
  4. How does squaring a fraction affect its numerator and denominator?
  5. What is (25)2\left(\frac{-2}{5}\right)^2?

Tip: When squaring a negative number, always remember that the result is positive unless the negative is outside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Fractions
Exponentiation
Negative Numbers

Formulas

Exponentiation of a fraction: (a/b)^n = (a^n)/(b^n)

Theorems

Properties of Exponents

Suitable Grade Level

Grades 6-8