Which value is greater: 2¹⁰ or 3⁵?

Which value is greater: 2¹⁰ or 3⁵?

• A. 2¹⁰
• B. 3⁵
• C. Both are equal
• D. Cannot be determined

Answer: (A)

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.

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.