When you write \( 4.0^{-8} \), you are expressing 4.0 raised to the power of -8. 

The formula is:

\[
4.0^{-8} = \frac{1}{4.0^8}
\]

Now, calculating \( 4.0^8 \):

\[
4.0^8 = 65536
\]

So, \( 4.0^{-8} \) becomes:

\[
4.0^{-8} = \frac{1}{65536} \approx 1.52588 \times 10^{-5}
\]

Thus, \( 4.0^{-8} \) is approximately \( 1.52588 \times 10^{-5} \).

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How do you simplify negative exponents in other cases, like \( 2^{-5} \)?
2. Why does a negative exponent lead to a fraction?
3. How do you calculate fractional exponents such as \( 4.0^{0.5} \)?
4. What are the rules for multiplying numbers with exponents?
5. How do exponents relate to square roots and cube roots?

**Tip:** Negative exponents indicate the reciprocal of the number raised to the corresponding positive exponent.

Explore how to calculate 4.0 raised to the power of -8 step-by-step. Understand the concept of negative exponents and how they relate to fraction representation. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation