Math Problem Statement

Išspręsk uždavinį ir aprašyk sprendimą

-4 · (-2)^2 - 2^3

Solution

The text extraction did not yield a proper result, but from visually analyzing the image, the mathematical expression seems to be:

4(2)223-4 \cdot (-2)^2 - 2^3

Let's solve this step by step:

Step 1: Compute the powers

  • (2)2=(2)×(2)=4(-2)^2 = (-2) \times (-2) = 4
  • 23=2×2×2=82^3 = 2 \times 2 \times 2 = 8

Step 2: Multiply the results

  • 44=16-4 \cdot 4 = -16

Step 3: Final subtraction

Now subtract 88 from 16-16: 168=24-16 - 8 = -24

Final Answer:

24-24

Would you like more details or have any questions?

Here are some related questions:

  1. How do you handle exponents with negative bases?
  2. Why does (2)2(-2)^2 result in a positive number?
  3. What happens if we change the exponent in (2)3(-2)^3?
  4. What is the difference between (2)2(-2)^2 and 22-2^2?
  5. How do you handle order of operations in similar expressions?

Tip: Always compute powers before performing any multiplication or subtraction to avoid errors in the order of operations.

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Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations
Multiplication
Subtraction

Formulas

Exponentiation: (a^b)
Multiplication of numbers: (a * b)
Subtraction of numbers: (a - b)

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8