Simplify.

4 Superscript negative 34−3

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Part 1

4 Superscript negative 34−3equals=enter your response here

​(Type an integer or a simplified​ fraction.)

To simplify the expression:

\[
4^{-34} - 3
\]

We break it down as follows:

1. \( 4^{-34} \) means \( \frac{1}{4^{34}} \).
2. Therefore, the expression becomes:

\[
\frac{1}{4^{34}} - 3
\]

Since the first term is a very small fraction and the second term is an integer, we cannot combine them into a simpler form. Thus, the simplified expression is:

\[
\frac{1}{4^{34}} - 3
\]

This is the final simplified version. 

Would you like further details on any part of this process?

Here are some related questions for practice:
1. Simplify \( 5^{-10} - 2 \).
2. Evaluate \( 2^{-15} + 1 \).
3. Simplify \( 7^{-2} - 4 \).
4. What is the value of \( 3^{-8} \)?
5. Simplify \( \frac{1}{2^6} - 7 \).

**Tip**: Negative exponents represent reciprocal values of the base raised to the corresponding positive exponent.

Simplify 4^-34 - 3. (Type an integer or a simplified fraction.)

Learn how to simplify the expression 4^-34 - 3. This problem focuses on exponents, particularly negative exponents, and demonstrates how to simplify expressions involving small fractions and integers. Suitable for students in Grades 8-10.

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