Math Problem Statement

-16/(-2)^2-4^2

Solution

Let's solve the expression step by step:

16(2)242\frac{-16}{(-2)^2} - 4^2

Step 1: Simplify the powers

  • (2)2=(2)×(2)=4(-2)^2 = (-2) \times (-2) = 4
  • 42=4×4=164^2 = 4 \times 4 = 16

Now the expression becomes:

16416\frac{-16}{4} - 16

Step 2: Perform the division

  • 164=4\frac{-16}{4} = -4

Now the expression becomes:

416-4 - 16

Step 3: Perform the subtraction

416=20-4 - 16 = -20

Final Answer:

20-20

If you need more details or have questions, feel free to ask!


Here are 5 related questions to expand your understanding:

  1. How do you handle exponents with negative bases inside parentheses versus outside parentheses?
  2. What is the order of operations (PEMDAS) and why is it important in solving expressions like this?
  3. What happens when you divide negative numbers by positive numbers?
  4. How does squaring affect positive and negative numbers?
  5. How would the result change if the base in (2)2(-2)^2 was without parentheses, as in 22-2^2?

Tip: Always solve powers and parentheses before moving on to multiplication or division in expressions!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Division
Subtraction

Formulas

(-a)^2 = a^2
a^2 = a * a
a / b

Theorems

PEMDAS (Order of Operations)

Suitable Grade Level

Grades 7-9