Question

For f(x) = 2/x^3, find and simplify the following.
f(5/2)

Answer 1

sorry i wrote it wrong

Answer 2

\[
f(\color{blue}x)= \frac{2}{\color{blue}x^3} \implies f\left(\color{red}{\frac 5 2}\right)= \frac{2}{\left(\color{red}{\frac 5 2}\right)^3}
\]

Answer 3

Color coded for more medals.

Answer 4

Can you simplify?

Answer 5

is it 2/125/8?

Answer 6

Yeah, but you have to keep going.

Answer 7

i dont know how to do the next step..

Answer 8

Flip the fraction and it becomes multiplication.\[
\frac{2}{\frac{125}{8}} = 2\times\frac{8}{125}
\]

Answer 9

is it 16/250?

Answer 10

250? Where di that come from?

Answer 11

2*125

Answer 12

Do you remember how to multiply fractions?

Answer 13

i guess not

Answer 14

so it would be 16/125 im assuming?

Answer 15

Yeah

Answer 16

thanks