To calculate \( 15^{-2} \), follow the rule for negative exponents:

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

So,

\[
15^{-2} = \frac{1}{15^2}
\]

Now, calculate \( 15^2 \):

\[
15^2 = 225
\]

Thus,

\[
15^{-2} = \frac{1}{225}
\]

So, \( 15^{-2} = \frac{1}{225} \).

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is \( 10^{-3} \)?
2. How do you simplify \( 8^{-1} \)?
3. What is \( 25^{-2} \)?
4. Solve \( (3^{-1})^2 \).
5. What is the value of \( 5^{-3} \)?

**Tip**: Negative exponents indicate that you take the reciprocal of the base raised to the positive exponent.

Learn how to solve 15^-2 by applying the law of negative exponents. This detailed step-by-step solution explains the concept of negative exponents and how to calculate the reciprocal of a number raised to a positive exponent. Ideal for students in Grades 6-8.

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