Math Problem Statement

(-12)2/-4

(-12)^2 / -4 = 6

Solution

The expression shown in the image is:

(12)24=6\frac{(-12)^2}{-4} = 6

Let's solve this step-by-step:

  1. First, calculate (12)2(-12)^2: (12)2=(12)×(12)=144(-12)^2 = (-12) \times (-12) = 144

  2. Now, divide 144144 by 4-4: 1444=36\frac{144}{-4} = -36

So, the left side of the equation becomes 36-36, but the right side of the equation is 66. This shows that the equation given is incorrect.

The correct equation should be:

(12)24=36\frac{(-12)^2}{-4} = -36

If you have any questions or would like further details, feel free to ask!

Here are 5 related questions you might want to explore:

  1. How do you handle exponents with negative bases?
  2. Why does squaring a negative number result in a positive value?
  3. What happens if we change the denominator in a division problem with a negative number?
  4. Can you explain the steps for simplifying expressions with exponents and division?
  5. What is the difference between (12)2(-12)^2 and 122-12^2?

Tip: Always remember that squaring a negative number results in a positive value since multiplying two negatives gives a positive result.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponents
Negative Numbers
Division

Formulas

a^2 = a × a
Division of numbers: a / b

Theorems

Squaring a negative number results in a positive value
Division rules: Dividing a positive by a negative results in a negative value

Suitable Grade Level

Grades 6-8