Question

How do you evaluate `(7+3^2)/(4^2*2)`?

Answer 1

`1/2`

Explanation:

We first calculate the term with exponents:

`(7 + color(red)(3^2))/(color(blue)(4^2)*2) -> (7 + (color(red)(3*3)))/((color(blue)(4*4))*2) -> (7 + color(red)(9))/(color(blue)(16)*2)`

Next we can add the terms in the numerator:

`(7 + color(red)(9))/(color(blue)(16)*2) -> 16/(color(blue)(16)*2)`

Now, we can simplify the numerator and denominator:

`16/(color(blue)(16)*2) -> color(blue)(cancel(color(black)(16)))/(cancel(color(blue)(16))*2) -> 1/2`