$f\left(x\right)=\frac{1}{x\sqrt{x}}$

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Final answer to the problem

$f\left(x\right)=\frac{1}{x^{\frac{3}{2}}}$
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Step-by-step Solution

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Apply the formula: $x\cdot x^n$$=x^{\left(n+1\right)}$, where $x^nx=x\sqrt{x}$, $x^n=\sqrt{x}$ and $n=\frac{1}{2}$

$f\left(x\right)=\frac{1}{x^{\frac{1}{2}+1}}$

Learn how to solve expressions algébriques problems step by step online.

$f\left(x\right)=\frac{1}{x^{\frac{1}{2}+1}}$

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Learn how to solve expressions algébriques problems step by step online. f(x)=1/(xx^(1/2)). Apply the formula: x\cdot x^n=x^{\left(n+1\right)}, where x^nx=x\sqrt{x}, x^n=\sqrt{x} and n=\frac{1}{2}. Apply the formula: \frac{a}{b}+c=\frac{a+cb}{b}, where a/b+c=\frac{1}{2}+1, a=1, b=2, c=1 and a/b=\frac{1}{2}. Apply the formula: 1x=x, where x=2. Apply the formula: a+b=a+b, where a=1, b=2 and a+b=1+2.

Final answer to the problem

$f\left(x\right)=\frac{1}{x^{\frac{3}{2}}}$

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Function Plot

Plotting: $f\left(x\right)+\frac{-1}{x\sqrt{x}}$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Expressions algébriques

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