Question

Converting negative exponents to radicals: Will you see if I got this right?

Answer 1

\[\left(\frac{a}{b}\right)^{-k}=\left(\frac{b}{a}\right)^{k}\]

Answer 2

Is
\[f'(x)=\frac{ 3 }{ 2 }x ^{\frac{ 1}{ 2 }}+\frac{ 1 }{ 2 }x ^{\frac{ -1 }{ 2 }}+2\]
The same as:
\[f'(x)=\frac{ 3\sqrt{x} }{ 2 }+\frac{ 1 }{ 2\sqrt{x} }+2\] ?

Answer 3

yep.

all good here

Answer 4

1/2 exponent is sqrt, it looks fine to me