Math Problem Statement

Bentuk Perkalian dari (-4)^3 dan Hasil dari (-2)^2 x (-2)^3

Solution

The text in the image is written in Indonesian, and it seems to involve some mathematical operations involving powers and negative numbers. Here’s what is written:

  1. Bentuk Perkalian dari (-4)³ adalah ...
    Translation: "The multiplication form of (-4)³ is ..."

  2. Hasil dari (-4)³ adalah ...
    Translation: "The result of (-4)³ is ..."

  3. Hasil dari (-2)² x (-2)³ adalah ...
    Translation: "The result of (-2)² × (-2)³ is ..."

Let me walk you through the solutions step by step:

1. Expansion and Result of (4)3(-4)^3:

  • (4)3=(4)×(4)×(4)(-4)^3 = (-4) \times (-4) \times (-4)
  • First, multiply:
    (4)×(4)=16(-4) \times (-4) = 16
  • Then, multiply 16×(4)=6416 \times (-4) = -64

So, the result is -64.

2. Solving (2)2×(2)3(-2)^2 \times (-2)^3:

  • First, evaluate (2)2=(2)×(2)=4(-2)^2 = (-2) \times (-2) = 4
  • Then, evaluate (2)3=(2)×(2)×(2)=8(-2)^3 = (-2) \times (-2) \times (-2) = -8
  • Now, multiply:
    4×(8)=324 \times (-8) = -32

So, the result of (2)2×(2)3(-2)^2 \times (-2)^3 is -32.

Would you like further explanation or have any other questions?

Here are some related problems to expand your understanding:

  1. What is (3)4(-3)^4?
  2. Can you calculate (5)3(-5)^3?
  3. How do you handle powers when the base is positive, like 232^3?
  4. What happens if the base is negative but the exponent is even, such as (2)4(-2)^4?
  5. What is the result of (6)2×(6)1(-6)^2 \times (-6)^1?

Tip: Remember that when multiplying an odd number of negative factors, the result is negative.

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Multiplication
Negative Numbers

Formulas

(-a)^n = (-a) * (-a) * ... * (-a) (n times)
Multiplication of Powers: a^m * a^n = a^(m+n)

Theorems

Laws of Exponents
Multiplying Negative Numbers

Suitable Grade Level

Grades 7-9