Math Problem Statement

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

Solution

The text extracted from the image is:

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

This translates to: "Find the result of (-4)³ + (-4)² + (-4)¹ + (-4)⁰."

Let's solve it 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, sum these values:

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

So, the result is -51.

Would you like more details or have any further questions? Here are some related questions to consider:

  1. What is the rule for calculating exponents when the base is negative?
  2. How do you handle powers of 0 with negative bases?
  3. What is the difference between even and odd powers for negative numbers?
  4. How does the order of operations affect solving exponent expressions?
  5. What other properties of exponents might apply when solving similar problems?

Tip: When the base is negative, the result depends on whether the exponent is even or odd: even powers result in a positive value, while odd powers give a negative value.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers
Addition

Formulas

a^n
Addition of terms

Theorems

Exponentiation Rules
Power of Zero

Suitable Grade Level

Grades 7-9