2²⁴ ➗ ¿

What is 2²⁴ divided by 8


The answer is 2097152.

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1 solution

Callie Ferguson
Oct 14, 2019

We know that 8 = 2 3 8 = 2^3 . We also know that a x / a y a^x/a^y = a x y = a^{x-y}

So…

2 24 / 2 3 = 2 24 3 = 2 21 2^{24}/2^3 = 2^{24-3} = 2^{21}

And 2 21 = 2097152 2^{21} = 2097152 .

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