Question

Kyra's school earned `4^6` dollar from the annual fundraiser. How m did the school earn?

Answer 1

`$4096`

Explanation:

Kyra's school earned `$4096` from the fundraiser.

To solve this problem, you can think about the problem like this:

`4*4*4*4*4*4`

So, first, look at the first part, `color(red)(4*4)*4*4*4*4`. Since `4*4= 16`, then, the equation can be simplified to

`16*4*4*4*4`

Now, look at this section of the problem, `16* color(red)(4*4)*4*4`. Since we established earlier that `4*4` is equal to `16`, the equation you have now is

`16*16*4*4`

Like before, we can look at the next part of this equation, `16*16*color(red)(4*4)`. Once again, `4*4` is equal to `16`. So the equation is now simplified to

`16*16*16`

So now, we can look at the `16*16`. That equals `256`.

`256*16` is what you have now.

After simplifying that, you end up with 4096, which is the answer.