https://file.aiquickdraw.com/mathbot/file/1727982458159zck7roma.jpg

The fraction given in the image is:

\[
\frac{1}{15^7}
\]

To express this fraction using a negative exponent, we apply the rule:

\[
\frac{1}{a^n} = a^{-n}
\]

In this case, \(a = 15\) and \(n = 7\). Therefore, the expression becomes:

\[
15^{-7}
\]

Thus, \(\frac{1}{15^7}\) can be expressed as \(15^{-7}\).

Would you like more details on how this works or have any other questions?

Here are five related questions for further practice:

1. How would you express \(\frac{1}{3^4}\) using a negative exponent?
2. What is the negative exponent form of \(\frac{1}{10^6}\)?
3. Simplify \(\frac{1}{7^3}\) using negative exponents.
4. Write \(\frac{1}{2^{10}}\) in terms of a negative exponent.
5. How would you rewrite \(\frac{1}{x^5}\) with a negative exponent?

**Tip:** When a term is in the denominator with a positive exponent, it can be written in the numerator with a negative exponent.

Express the fraction 1/15^7 using a negative exponent.

Learn how to express the fraction 1/15^7 using a negative exponent. This problem applies exponent rules and is suitable for students in Grades 7-9, covering key algebraic concepts like negative exponents.

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