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

The common flea can jump 128 times of its body size, or the common flea can jump
`2^(7)` times of its body size.

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 = (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.