Math Problem Statement

Hasil dari soal di atas

Hasil dari (-4)^3 + (-4)^2 + (-4)^1 + (-4)^0

Solution

The extracted text from the image seems unclear, but it resembles the following equation:

Hasil dari (4)3+(4)2+(4)1+(4)0\text{Hasil dari } (-4)^3 + (-4)^2 + (-4)^1 + (-4)^0

Let me solve this expression step by step.

  1. (4)3=64(-4)^3 = -64
  2. (4)2=16(-4)^2 = 16
  3. (4)1=4(-4)^1 = -4
  4. (4)0=1(-4)^0 = 1

Now, summing these up:

64+164+1=51-64 + 16 - 4 + 1 = -51

So, the result is 51-51.

Would you like a detailed explanation or have any questions?

Here are 5 related questions to expand on this:

  1. What happens when the base of a power is negative, and the exponent is even or odd?
  2. How do we simplify expressions involving powers of negative numbers?
  3. What is the value of any number raised to the power of zero?
  4. How do we add or subtract integers?
  5. What is the difference between evaluating powers with negative bases and negative exponents?

Tip: Remember that any number raised to the power of zero is always 1, regardless of the base (as long as the base isn't zero).

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Math Problem Analysis

Mathematical Concepts

Exponents
Negative Numbers
Integer Arithmetic

Formulas

Power of a number: x^n
Exponent rules for negative numbers

Theorems

Exponentiation rules (Odd powers of negative numbers remain negative, even powers are positive)
Any number raised to the power of zero equals 1

Suitable Grade Level

Grades 6-8