To solve \( 81^{\frac{3}{4}} \), follow these steps:

1. **Rewrite the base**:  
   \( 81 = 3^4 \) (since \( 81 = 3 \times 3 \times 3 \times 3 \)).

2. **Apply the exponent rule**:  
   Using the rule \( (a^m)^n = a^{m \cdot n} \), we rewrite the expression:
   \[
   81^{\frac{3}{4}} = (3^4)^{\frac{3}{4}} = 3^{4 \cdot \frac{3}{4}} = 3^3.
   \]

3. **Simplify**:  
   Now calculate \( 3^3 \):
   \[
   3^3 = 3 \times 3 \times 

Learn how to solve the exponentiation problem 81^(3/4) step-by-step. Understand key mathematical concepts such as exponents and roots, and apply the exponentiation rules to find the solution. This problem is ideal for students in Grades 9-10.

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