Question
Identify the greater number, if possible: $2^{10}$ or $10^2$
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Answer
In order to find the greater number, we should expand and find the value of $2^{10}$ and $10^2$
$2^{10}=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=1024$
$10^2=10 \times 10=100$
Since $1024>100,2^{10}>10^2$
$2^{10}=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=1024$
$10^2=10 \times 10=100$
Since $1024>100,2^{10}>10^2$
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