Which value is greater: 2¹⁰ or 3⁵?

To determine which value is greater between (2^{10}) and (3^{5}), we can calculate both expressions.

First, (2^{10}) can be calculated as follows:

[

2^{10} = 1024

]

Next, we calculate (3^{5}):

[

3^{5} = 3 \times 3 \times 3 \times 3 \times 3 = 243

]

Now, comparing the two results:

• (2^{10} = 1024)

• (3^{5} = 243)

Since (1024) is greater than (243), it is clear that (2^{10}) is indeed greater than (3^{5}).

This confirms that the correct value is (2^{10}), supporting the answer chosen. By performing a direct calculation, anyone can observe that (2^{10}) significantly surpasses the value of (3^{5}), leading to a definitive conclusion.