https://file.aiquickdraw.com/mathbot/file/1727095230681wpv83d4o.jpg

The expression given is:

\[
\left( u^{-7} \right)^4
\]

To simplify this expression without using negative exponents, follow these steps:

### Step 1: Apply the Power of a Power Rule
The rule states that when raising an exponent to another power, you multiply the exponents:
\[
\left( u^{-7} \right)^4 = u^{-7 \cdot 4} = u^{-28}
\]

### Step 2: Remove the Negative Exponent
To eliminate the negative exponent, we use the rule:
\[
u^{-28} = \frac{1}{u^{28}}
\]

Thus, the simplified expression is:
\[
\frac{1}{u^{28}}
\]

This is the answer without negative exponents.

Would you like further details or have any questions?

Here are 5 related questions you might find helpful:
1. How do you simplify \(\left( u^3 \right)^5\)?
2. What is the result of simplifying \(\left( x^{-2} \right)^6\)?
3. Can you explain how to convert negative exponents into positive exponents in general?
4. What are the steps to simplify \(\left( u^{-4} \cdot u^{-3} \right)\)?
5. How do we apply the power of a product rule?

**Tip**: When simplifying expressions with negative exponents, always remember that a negative exponent indicates a reciprocal (i.e., \( a^{-n} = \frac{1}{a^n} \)).

(u^{-7})^4. Write your answer without using negative exponents.

Learn how to simplify the expression (u^{-7})^4 without using negative exponents. This step-by-step guide covers the power of a power rule and converting negative exponents into positive ones. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation