The expression \(-2^6\) can be simplified as follows:

In mathematical order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), exponents are evaluated before any multiplication or negation. The expression \(-2^6\) means that the exponent is applied to \(2\) first, and then the result is negated.

\[
-2^6 = -(2^6) = -(64) = -64
\]

Therefore, \(-2^6 = -64\).

Would you like any further clarification or details?

Here are 5 related questions:
1. What is the value of \((-2)^6\)?
2. How do the rules of exponents apply when negative numbers are involved?
3. What is the difference between \(-2^6\) and \((-2)^6\)?
4. How does the order of operations affect solving expressions like \(-3^4\)?
5. How would you simplify \(3 \times -2^4\)?

**Tip:** Always remember the order of operations (PEMDAS) when simplifying expressions involving exponents.

Explore how to simplify the expression -2^6 by applying the rules of exponents and order of operations (PEMDAS). Understand the difference between -2^6 and (-2)^6, and learn why the solution is -64. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation