Math Problem Statement

Evaluate the expression.

negative 4 to the power of 3 end exponent

Solution

The expression "negative 4 to the power of 3" can be written as:

(4)3(-4)^3

To solve:

(4)3=(4)×(4)×(4)=16×(4)=64(-4)^3 = (-4) \times (-4) \times (-4) = 16 \times (-4) = -64

So, the value of (4)3(-4)^3 is 64-64.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is (4)2(-4)^2?
  2. How does (4)4(-4)^4 differ from (4)3(-4)^3?
  3. What is 434^3, without the negative sign?
  4. Can you simplify (3)3(-3)^3?
  5. How do powers of negative numbers change with even and odd exponents?

Tip: When raising a negative number to an odd exponent, the result will always be negative.

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Math Problem Analysis

Mathematical Concepts

Exponents
Negative Numbers
Powers

Formulas

(-4)^3 = (-4) × (-4) × (-4)

Theorems

Exponentiation of Negative Numbers

Suitable Grade Level

Grades 6-8