Wrote without a fraction: (a^(-n))/(a^(2+n))

To write the expression \(\frac{a^{-n}}{a^{2+n}}\) without a fraction, you can use the properties of exponents. Specifically, you can subtract the exponent of the denominator from the exponent of the numerator:

\[
\frac{a^{-n}}{a^{2+n}} = a^{-n - (2+n)}
\]

Simplify the exponent:

\[
a^{-n - 2 - n} = a^{-2n - 2}
\]

So, the expression \(\frac{a^{-n}}{a^{2+n}}\) simplifies to:

\[
a^{-2n - 2}
\]

Would you like further details on how to simplify similar expressions, or do you have any questions?

Here are 5 related questions:
1. How do you simplify \(\frac{a^m}{a^n}\) when \(m\) and \(n\) are different?
2. What is the simplified form of \(\frac{a^{-2}}{a^4}\)?
3. How do you express \(\frac{a^{3-n}}{a^{2n}}\) without using a fraction?
4. How do you simplify the expression \(\frac{a^{-x}}{a^{-y}}\)?
5. What is the result of multiplying two powers of the same base, \(a^m \times a^n\)?

**Tip:** When dividing powers with the same base, subtract the exponents to simplify the expression.

Discover how to simplify the expression (a^(-n))/(a^(2+n)) using the laws of exponents. This algebra problem is ideal for students in Grades 9-10 and demonstrates how to handle negative exponents and division of like bases.

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