Math Problem Statement

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

Solution

The equation in the image is:

6234(3)26^2 - 3^4 - (-3)^2

Let's solve it step by step:

  1. Calculate 626^2: 62=366^2 = 36

  2. Calculate 343^4: 34=3×3×3×3=813^4 = 3 \times 3 \times 3 \times 3 = 81

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

Now, substitute these values back into the expression:

3681936 - 81 - 9

Simplify:

3681=4536 - 81 = -45 459=54-45 - 9 = -54

So, the result of the expression is:

54\boxed{-54}

Would you like further details or have any questions?

Here are some related questions for practice:

  1. What is the value of 5223+(4)25^2 - 2^3 + (-4)^2?
  2. How does (2)4(-2)^4 compare to 242^4?
  3. Simplify 7243(2)27^2 - 4^3 - (-2)^2.
  4. What happens if you change 626^2 to 636^3 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.

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Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations
Integers

Formulas

a^b = a raised to the power of b

Theorems

Properties of Exponents
Squaring Negative Numbers

Suitable Grade Level

Grades 7-8