Question

simplify (e^x/2)^2

Answer 1

apply the exponent to both numerator and denominator

Answer 2

use rules of exponents
(e^(x/2))^2

Answer 3

so it would be (e^5x/2)?

Answer 4

Not exactly..

Answer 5

how then? doesnt the exponent rule tell me to add the powers?

Answer 6

\[a^x*b^x=ab^{x+x}\]
\[(a^x)^x=a^{x*x}\]

Answer 7

so then (e^x)?

Answer 8

@luigi you got the first one a bit wrong, but you're right on the the second one, and that's the important one

Answer 9

yes, it is e^x

Answer 10

ok then thank you for your help :)

Answer 11

its not like this ?

\(\large (\frac{e^x}{2})^2\)

Answer 12

\[\large (e^{x/2})^2 \implies (e^{x/2})*(e^{x/2})=e^{2x/2} = e^x\]

Answer 13

and @Luigi0210 it's \[\large a^x*a^x=a^{2x}=(a^x)^2\]

Answer 14

._.