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Simplify the expression $\frac{12\sqrt{x}}{4x^3}$

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Solution

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Final answer to the problem

$\frac{3}{\sqrt{x^{5}}}$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Factor by completing the square
  • Find the roots
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1

Simplify the fraction by $x$

$\frac{12}{4x^{\frac{-1+3\cdot 2}{2}}}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{12}{4x^{\frac{-1+3\cdot 2}{2}}}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (12x^(1/2))/(4x^3). Simplify the fraction by x. Multiply 3 times 2. Subtract the values 6 and -1. Cancel the fraction's common factor 4.

Final answer to the problem

$\frac{3}{\sqrt{x^{5}}}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $\frac{3}{\sqrt{x^{5}}}$

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1
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4
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
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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$3x\div x$

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$2x\div x$

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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