Math Problem Statement

(-3/-4)^2

Solution

To solve (34)2\left(\frac{-3}{-4}\right)^2, follow these steps:

  1. Simplify the fraction: 34=34\frac{-3}{-4} = \frac{3}{4} because the negatives cancel out.

  2. Square the simplified fraction: (34)2=3242=916\left(\frac{3}{4}\right)^2 = \frac{3^2}{4^2} = \frac{9}{16}

So, (34)2=916\left(\frac{-3}{-4}\right)^2 = \frac{9}{16}.

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

Here are 5 related questions:

  1. What is (57)2\left(\frac{5}{-7}\right)^2?
  2. How do you simplify the expression (23)3\left(\frac{-2}{3}\right)^3?
  3. What is (68)2\left(\frac{-6}{-8}\right)^2?
  4. How do you calculate (45)2\left(\frac{-4}{5}\right)^2?
  5. What is the square of (79)\left(\frac{7}{9}\right)?

Tip: When squaring a fraction, square both the numerator and the denominator separately.

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Math Problem Analysis

Mathematical Concepts

Fractional exponents
Squaring fractions

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9