## Two to the … s

Let your students practice exponents, fractional exponents, and roots with this powerful assignment that asks them to compute impressive mathematics in their heads.

If you list the values of various 2 to the ... s

$2^8 = 256$
$2^{12} = 4,096$
$2^{14} = 16,384$
$2^{20} = 1,048,576$
$2^{28} = 268,435,456$

then you can ask students to calculate all kinds of amazing math in their heads.  It's like magic!

$256\times4,096$

$\displaystyle \frac {1,048,576}{4,096}$

or  $\sqrt {268,435,456}$

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