Question

A common flea that is 2^-4 inch long can jump
about 2^3 inches high. About how many times its body size can a flea jump?
Explain your reasoning.

Answer 1

The answer comes down to converting the two values and comparing them

Answer 2

Answer:

The common flea can jump 128 times of its body size, or the common flea can jump $2^{7}$ times of its body size.

Step-by-step explanation:

Consider the provided information.

A common flea that is $2^{-4}$ inch long can jump  about 2^3 inches high.

Now we need to find that how many times its body size can a flea jump.

Let x is the number of times she can jump.

Thus,

$2^{-4}\cdot x = 2^3$

$x = \frac{2^3}{2^{-4}}$

$x =2^{3-(-4)}$

$x =2^{(3+4)}$

$x =2^{7}$ or  $x =128$

Hence, the common flea can jump 128 times of its body size, or the common flea can jump $2^{7}$ times of its body size.