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32\times \frac{1}{2^{2}}=2\times 2\times 2\times 2\times 2\times \frac{1}{2\times 2}
Calculate 2 to the power of 5 and get 32.
32\times \frac{1}{4}=2\times 2\times 2\times 2\times 2\times \frac{1}{2\times 2}
Calculate 2 to the power of 2 and get 4.
\frac{32}{4}=2\times 2\times 2\times 2\times 2\times \frac{1}{2\times 2}
Multiply 32 and \frac{1}{4} to get \frac{32}{4}.
8=2\times 2\times 2\times 2\times 2\times \frac{1}{2\times 2}
Divide 32 by 4 to get 8.
8=4\times 2\times 2\times 2\times \frac{1}{2\times 2}
Multiply 2 and 2 to get 4.
8=8\times 2\times 2\times \frac{1}{2\times 2}
Multiply 4 and 2 to get 8.
8=16\times 2\times \frac{1}{2\times 2}
Multiply 8 and 2 to get 16.
8=32\times \frac{1}{2\times 2}
Multiply 16 and 2 to get 32.
8=32\times \frac{1}{4}
Multiply 2 and 2 to get 4.
8=\frac{32}{4}
Multiply 32 and \frac{1}{4} to get \frac{32}{4}.
8=8
Divide 32 by 4 to get 8.
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Compare 8 and 8.