https://file.aiquickdraw.com/mathbot/file/17276321567319fvvghlz.jpg

The given expression is:

\[
2^{-3} + \frac{1}{2^3}
\]

### Step 1: Simplify \(2^{-3}\)
Using the property of exponents:
\[
2^{-3} = \frac{1}{2^3} = \frac{1}{8}
\]

### Step 2: Simplify \(\frac{1}{2^3}\)
This is already in its simplest form:
\[
\frac{1}{2^3} = \frac{1}{8}
\]

### Step 3: Add the two terms
Now, we add the two fractions:
\[
\frac{1}{8} + \frac{1}{8} = \frac{2}{8} = \frac{1}{4}
\]

### Final Answer:
The simplified result is:
\[
\boxed{\frac{1}{4}}
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. What is the value of \(2^{-2} + \frac{1}{2^2}\)?
2. How do you simplify \(3^{-2} + \frac{1}{3^2}\)?
3. What is \(5^{-1} + \frac{1}{5^1}\)?
4. How can you express \(2^{-4} + \frac{1}{2^4}\)?
5. What is the result of \(4^{-2} + \frac{1}{4^2}\)?

**Tip:** When dealing with negative exponents, always remember that \(a^{-n} = \frac{1}{a^n}\).

Learn how to simplify the expression 2^{-3} + 1/2^3 using exponent rules. This problem focuses on negative exponents and fraction addition, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation