The expression \( \frac{6}{6^{-3}} \) can be simplified as follows:

We know that \( 6^{-3} = \frac{1}{6^3} \). So, the expression becomes:

\[
\frac{6}{6^{-3}} = 6 \times 6^3
\]

Now, simplify:

\[
6 \times 6^3 = 6^4
\]

Finally, calculate \( 6^4 \):

\[
6^4 = 1296
\]

So, the result of \( \frac{6}{6^{-3}} \) is \( 1296 \).

Would you like further details or have any questions? Here are 5 related questions:

1. What is the rule for dealing with negative exponents?
2. How do you simplify expressions involving exponents with the same base?
3. What happens when you multiply powers of the same base?
4. Can you simplify \( \frac{a}{a^{-b}} \) for any number \( a \)?
5. How do you apply exponents in fraction expressions?

**Tip:** When dealing with negative exponents, remember they indicate the reciprocal of the base raised to the positive exponent.

Discover how to simplify the expression 6/6^-3 by applying the rules of exponents. This problem demonstrates key concepts such as negative exponents and simplification techniques. Suitable for students in Grades 6-8.

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