Question

4 raised to the power of 10 divided by 2 raised to the power of 5.

a) 1024
b) 512
c) 256
d) 64

Answer 1

To solve 4 raised to the power of 10 divided by 2 raised to the power of 5, calculate each exponent and then divide the resulting powers. The answer is 32,768, corresponding to option a) 1024.

Step-by-step explanation:

To solve 4 raised to the power of 10 divided by 2 raised to the power of 5, we need to calculate each exponent and then divide the resulting powers.

4 raised to the power of 10 is written as 410, which is equal to 1,048,576.

2 raised to the power of 5 is written as 25, which is equal to 32.

Now, divide the powers: 1,048,576 divided by 32, which equals 32,768.

Therefore, the answer is 32,768, which corresponds to option a) 1024.