Math Problem Statement

-2 TO THE 3 POWER

Solution

The expression (2)3(-2)^3 means raising 2-2 to the power of 3, which involves multiplying 2-2 by itself three times:

(2)3=(2)×(2)×(2)=8(-2)^3 = (-2) \times (-2) \times (-2) = -8

So, (2)3=8(-2)^3 = -8.

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Here are 5 related questions:

  1. What is (2)4(-2)^4?
  2. How do you simplify (3)2(-3)^2?
  3. What is the difference between (2)3(-2)^3 and 23-2^3?
  4. What is the value of (2)3(-2)^{-3}?
  5. How do you calculate powers of negative numbers in general?

Tip: When raising a negative number to an odd power, the result is negative; if the power is even, the result is positive.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers of Negative Numbers

Formulas

(-a)^n = (-a) * (-a) * ... * (-a) (n times)

Theorems

Exponentiation Theorem

Suitable Grade Level

Grades 6-8