Math Problem Statement

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

Solution

It seems that the OCR result was slightly unclear, but the question appears to be asking for the result of the following expression:

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 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 values:

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

Thus, the result is 51-51.

Would you like more details on this process? Here are 5 related questions to expand on this topic:

  1. How do the rules of exponents apply to negative bases like (4)(-4)?
  2. What is the significance of any number raised to the power of zero?
  3. Can we explore more examples with both positive and negative exponents?
  4. How do parentheses affect the calculation in exponentiation of negative numbers?
  5. What are some real-life applications of exponentiation?

Tip: When working with negative bases, always use parentheses to avoid confusion with the exponentiation rules!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponentiation
Negative Bases
Algebra

Formulas

a^n where a is the base and n is the exponent

Theorems

Any number raised to the power of zero equals 1
Exponentiation rules for negative numbers

Suitable Grade Level

Grades 7-9