triple q, then raise the result to the 10th power

To solve the problem of "triple \( q \), then raise the result to the 10th power," we proceed step by step:

1. **Triple \( q \):**
   \[
   3q
   \]
   
2. **Raise the result to the 10th power:**
   \[
   (3q)^{10}
   \]
   
3. **Simplify the expression:**
   \[
   (3q)^{10} = 3^{10} \cdot q^{10}
   \]

4. **Calculate \( 3^{10} \):**
   \[
   3^{10} = 59049
   \]

So, the final result is:
\[
(3q)^{10} = 59049q^{10}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you raise any number or variable to a power?
2. What is the general rule for exponents applied to a product?
3. How would you handle the case if \( q \) were a negative number?
4. Can this method be used with a fractional exponent instead of 10?
5. What happens if \( q = 0 \) in this scenario?

**Tip:** When raising a product like \( ab \) to a power, apply the exponent to each factor individually: \( (ab)^n = a^n \cdot b^n \).

Learn how to triple a variable and raise the result to the 10th power with a detailed step-by-step solution. This problem covers key algebraic concepts, including exponentiation and multiplication rules, suitable for students in Grades 9-12.

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