To evaluate \( 4^{3/2} \), follow these steps:

1. Rewrite the expression as:
   \[
   4^{3/2} = (4^{1/2})^3
   \]
   Since \( 4^{1/2} \) represents the square root of 4, we have:
   \[
   4^{1/2} = \sqrt{4} = 2
   \]

2. Now, cube the result:
   \[
   (2)^3 = 8
   \]

Therefore, \( 4^{3/2} = 8 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What is \( 9^{3/2} \)?
2. How would you solve \( 16^{3/4} \)?
3. Can you express \( 25^{1/2} \) in terms of a square root?
4. How do you calculate \( (27)^{2/3} \)?
5. What is the value of \( 81^{1/4} \)?

**Tip**: When dealing with fractional exponents, the denominator represents the root, and the numerator represents the power.

Learn how to evaluate 4^(3/2) step-by-step by breaking it down into fractional exponents and square roots. This example explores exponentiation rules and how to rewrite powers in terms of roots. Suitable for students in Grades 8-10.

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