https://file.aiquickdraw.com/mathbot/file/1725918145887v2fq06tk.jpg

The expression in the image is \(\left(\frac{-3}{4}\right)^2\), which represents the square of the fraction \(\frac{-3}{4}\).

Let's break it down step by step:

1. First, square both the numerator and the denominator:
   \[
   \left(\frac{-3}{4}\right)^2 = \frac{(-3)^2}{4^2}
   \]

2. Compute the squares:
   \[
   (-3)^2 = 9 \quad \text{and} \quad 4^2 = 16
   \]

3. Therefore, the result is:
   \[
   \frac{9}{16}
   \]

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

Would you like any further details or have any questions?

Here are 5 related questions for further exploration:
1. What happens if we raise \(\left(\frac{-3}{4}\right)^3\) instead of squaring it?
2. How would the answer change if the exponent was negative, for example \(\left(\frac{-3}{4}\right)^{-2}\)?
3. What is the geometric meaning of squaring a fraction?
4. How do the signs affect the result when squaring a fraction with negative numbers?
5. What is the general rule for raising fractions to any integer power?

**Tip:** When squaring any number, a negative sign becomes positive because the square of any negative number is positive.

Discover how to solve (−3/4)^2 by breaking down the steps of squaring both the numerator and denominator. Learn the key concepts of exponentiation and fractions, suitable for students in Grades 6-8.

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