https://file.aiquickdraw.com/mathbot/file/172615896320287yi6636.jpg

The equation in the image is:

\[
6^2 - 3^4 - (-3)^2
\]

Let's solve it step by step:

1. Calculate \( 6^2 \):
   \[
   6^2 = 36
   \]

2. Calculate \( 3^4 \):
   \[
   3^4 = 3 \times 3 \times 3 \times 3 = 81
   \]

3. Calculate \( (-3)^2 \):
   \[
   (-3)^2 = (-3) \times (-3) = 9
   \]

Now, substitute these values back into the expression:

\[
36 - 81 - 9
\]

Simplify:

\[
36 - 81 = -45
\]
\[
-45 - 9 = -54
\]

So, the result of the expression is:

\[
\boxed{-54}
\]

Would you like further details or have any questions?

Here are some related questions for practice:
1. What is the value of \( 5^2 - 2^3 + (-4)^2 \)?
2. How does \( (-2)^4 \) compare to \( 2^4 \)?
3. Simplify \( 7^2 - 4^3 - (-2)^2 \).
4. What happens if you change \( 6^2 \) to \( 6^3 \) in this equation?
5. Why does squaring a negative number result in a positive value?

**Tip:** Always remember that squaring any real number, positive or negative, will result in a positive value.

6^2 - 3^4 - (-3)^2 işleminin sonucu kaçtır?

Find the result of the expression 6^2 - 3^4 - (-3)^2 using step-by-step calculations. This problem covers key concepts such as exponents, squaring negative numbers, and applying the correct order of operations. Ideal for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation