To evaluate \( 16^{5/2} \), we can rewrite it as:

\[
16^{5/2} = \left(16^{1/2}\right)^5
\]

We know that:

\[
16^{1/2} = \sqrt{16} = 4
\]

Thus, the expression becomes:

\[
4^5
\]

Now, calculate \( 4^5 \):

\[
4^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024
\]

So, \( 16^{5/2} = 1024 \).

Would you like further explanation on any step?

Here are 5 related questions you might find interesting:
1. What is \( 25^{3/2} \)?
2. How do you solve \( 81^{4/3} \)?
3. What is the value of \( 32^{5/2} \)?
4. How do fractional exponents relate to radicals?
5. How can you simplify expressions like \( (x^2)^3 \)?

**Tip:** Fractional exponents can be interpreted as roots and powers. The denominator of the fraction represents the root, and the numerator represents the power.

Discover how to solve the expression 16^5/2 by converting the fractional exponent into radicals. Learn how to calculate powers and roots using the laws of exponents. Suitable for students in Grades 8-10.

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