Pre-Algebra Examples

${32, \frac{45}{4}, \sqrt{64}}$

Step 1

The power set of a set $S$ is the set of all subsets of $S$ . The first subset will be set $S$ itself. Next, find all subsets that contain one less element (in this case $2$ elements). Continue with this process until finding all subsets including the empty set.

Power Set = ${{\sqrt{64}, \frac{45}{4}, 32}, {32, \sqrt{64}}, {32, \frac{45}{4}}, {\frac{45}{4}, \sqrt{64}}, {\sqrt{64}}, {32}, {\frac{45}{4}}, {}}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$P o w e r (S e t) = S E T, S E T, S E T, S E T, S E T, S E T, S E T, S E T, S E T, \sqrt{64}, \sqrt{64}, \sqrt{64}, \sqrt{64}, \frac{45}{4}, \frac{45}{4}, \frac{45}{4}, \frac{45}{4}, 32, 32, 32, 32,$

Decimal Form:

$P o w e r (S e t) = S E T, S E T, S E T, S E T, S E T, S E T, S E T, S E T, S E T, 8, 8, 8, 8, 11.25, 11.25, 11.25, 11.25, 32, 32, 32, 32,$

Mixed Number Form:

$P o w e r (S e t) = S E T, S E T, S E T, S E T, S E T, S E T, S E T, S E T, S E T, \sqrt{64}, \sqrt{64}, \sqrt{64}, \sqrt{64}, 11 \frac{1}{4}, 11 \frac{1}{4}, 11 \frac{1}{4}, 11 \frac{1}{4}, 32, 32, 32, 32,$