Question

would
(3/4)*(1/x^(-1/2))
be
(3/4)(x^(-1/2))
or
(3/4)(x^(1/2))

Answer 1

\(\dfrac{1}{x^{-n}}=x^n\)

Answer 2

thats what i thought, but my answer sheet says that its x^-1/2

Answer 3

whats the entire initial question ?

Answer 4

convert
\[\frac{ 3 }{ 4\sqrt{x} }\] to the form \[ax ^{n}\]

Answer 5

\(\dfrac{1}{x^n}=x^{-n}\)
so,
\(\Large \dfrac{3}{4x^{1/2}}=\dfrac{3x^{-1/2}}{4}\)

Answer 6

did u mis-intrepret \(\sqrt x \: as \: x^{-1/2}, \: its \: x^{1/2}\)

Answer 7

no the answer steps show this:
\[\frac{ 3 }{ 4\sqrt{x} }\] =
\[\left( \frac{ 3 }{ 4 } \right)\left( \frac{ 1 }{ x ^{-\frac{ 1 }{ 2 }} } \right)\]
=
\[\frac{ 3 }{ 4 }x ^{-\frac{ 1 }{ 2 }}\]

Answer 8

there is a typing mistake in 2nd step
the denominator must have the exponent of x as +1/2
because \(\huge \sqrt x=x^{1/2}\)

Answer 9

oh, so the third step is still correct isn't it?

Answer 10

the final answer is still correct :)