Math Problem Statement

Hasil dari (-2)^3 + (3)^2 - (-1)^{10} + (1)^{-19} - (123)^0 = ?

Solution

The image contains a mathematical expression, and the text extracted reads:

Hasil dari (2)3+(3)2(1)10+(1)19(123)0=?\text{Hasil dari } (-2)^3 + (3)^2 - (-1)^{10} + (1)^{-19} - (123)^0 = ?

Let's solve this step by step:

  1. (2)3=8(-2)^3 = -8
  2. (3)2=9(3)^2 = 9
  3. (1)10=1(-1)^{10} = 1 (since any even power of 1-1 is 1)
  4. (1)19=1(1)^{-19} = 1 (since any power of 1 is 1)
  5. (123)0=1(123)^0 = 1 (any number to the power of 0 is 1)

Now, summing them:

8+91+11=0-8 + 9 - 1 + 1 - 1 = 0

Thus, the result of the expression is 00.

Would you like more details, or have any questions? Here are 5 related questions to explore further:

  1. How do powers of negative numbers differ based on whether the exponent is odd or even?
  2. What happens when you raise 1 to any power?
  3. Can you explain why any number raised to the power of 0 equals 1?
  4. What is the general rule for powers of integers?
  5. How does exponentiation affect the sign of the result?

Tip: Remember that when dealing with powers, it's important to check the base and the exponent carefully, especially when negative numbers are involved.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponentiation
Algebra
Order of Operations

Formulas

a^b = a multiplied by itself b times
Any number to the power of 0 equals 1
Negative base with an even exponent results in a positive number

Theorems

Properties of Exponents
Exponentiation of Negative Numbers

Suitable Grade Level

Grades 8-10