Question

find the average of 2 ^ 10 + 2 ^ 20

Answer 1

The average of the terms in the expression, $2^{10} +2^{20}$ is equal to 524800.

Step-by-step Explanation

Given: An expression, $2^{10} +2^{20}$

To be found: To find the average of the terms in the given expression

Solution:

We have the expression, $2^{10} +2^{20}$

Evaluating the powers, we get the values of each term in the expression as,

$2^{10} =1024$ and $2^{20}=1048576$

Now, the given expression becomes,

$2^{10} +2^{20} =1024+1048576$

The total number of terms in the expression = 2

So, the average of the terms in the expression, $2^{10} +2^{20}$ is calculated as follows,

$Average=\frac{2^{10} +2^{20} }{2} \\\implies Average=\frac{1024+1048576}{2}$

Simplifying, we get

$Average=\frac{1049600}{2} \\\implies Average=524800$

Hence, the average of terms in $2^{10} +2^{20}$ is calculated to be 524800.

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