To simplify or work with the expression \(-3\left(\frac{x}{h}\right)^2 - 7\), let's break it down step by step.

### Expression: 
\[
-3\left(\frac{x}{h}\right)^2 - 7
\]

1. **Fractional Exponent**: The term \(\left(\frac{x}{h}\right)^2\) means the square of the fraction \(\frac{x}{h}\).

2. **Negative Coefficient**: The entire fraction \(\left(\frac{x}{h}\right)^2\) is then multiplied by \(-3\).

3. **Constant Term**: Finally, you subtract 7 from the entire expression.

Thus, the simplified form remains:
\[
-3\left(\frac{x^2}{h^2}\right) - 7 = -\frac{3x^2}{h^2} - 7
\]

This is as simplified as the expression can get unless you have specific values for \(x\) and \(h\).

Would you like more details, or do you have any questions?

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Here are 5 related questions:

1. How would the expression change if the exponent was \(\frac{1}{2}\) instead of 2?
2. What happens if you substitute specific values for \(x\) and \(h\)?
3. How would you graph this expression?
4. Can you identify the vertex of the quadratic expression in terms of \(x\) and \(h\)?
5. How does the expression change if the coefficient of \(\left(\frac{x}{h}\right)^2\) is positive?

**Tip:** When working with expressions involving fractions, always simplify by factoring or finding common denominators to make calculations easier!

Learn how to simplify the expression -3(x/h)^2 - 7 step-by-step. This problem involves algebraic manipulation, including handling exponents, negative coefficients, and constants in expressions. Suitable for students in Grades 7-9.

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