Fire ants are $2^{- 3}$ inches long. The ants are in a line across a porch that is $2^{6}$ inches long. How many fire ants are there?

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Solution

Let the number of fire ants be $x$
Now,
$x \times 2^{- 3} = 2^{6}$
$=> x = \frac{2^{6}}{2^{- 3}}$
$=> x = 2^{6 + 3}$
$=> x = 2^{9}$

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