The expression in the image is given as $16 \cdot 32$, and you are asked to write it as a power and evaluate it. Let's solve this step by step:

1. Factorize the numbers:

   • $16 = 2^4$
   • $32 = 2^5$

2. Combine the expression using properties of exponents: $16 \cdot 32 = 2^4 \cdot 2^5$ Using the rule $a^m \cdot a^n = a^{m+n}$: $2^4 \cdot 2^5 = 2^{4+5} = 2^9$

3. Now, evaluate the power: $2^9 = 512$

Therefore, the expression as a power is $2^9$, and its value is indeed $512$.

Would you like more details or have any questions about this?

Here are 5 related questions for further exploration:

1. What is the property of exponents that allows you to combine $2^4$ and $2^5$ into $2^9$?
2. How can you express the number $512$ as a power of 2 directly?
3. What are some other pairs of numbers that multiply to $512$ and can also be expressed as powers of 2?
4. Can you explain how to simplify the expression $2^9$ step by step using multiplication?
5. What are some common mistakes to watch out for when working with exponents and their properties?

Tip: Remember that when multiplying numbers with the same base, you add the exponents, which is a key exponent rule to simplify expressions efficiently.