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Solve the rational equation $y=\frac{1}{3x^{-4}+\frac{3x^{-1}}{2}+5x-4}$

Step-by-step Solution

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Final Answer

$y=\frac{2x^{4}}{6+3x^{3}+10x^{5}-8x^{4}}$
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Step-by-step Solution

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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$y=\frac{1}{3x^{-4}+\frac{3}{2x^{1}}+5x-4}$

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$y=\frac{1}{3x^{-4}+\frac{3}{2x^{1}}+5x-4}$

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Learn how to solve problems step by step online. Solve the rational equation y=1/(3x^(-4)+(3x^(-1))/25x+-4). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Combine all terms into a single fraction with 2x as common denominator. When multiplying exponents with same base you can add the exponents: 6x^{-4}x.

Final Answer

$y=\frac{2x^{4}}{6+3x^{3}+10x^{5}-8x^{4}}$

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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: $y+\frac{-1}{3x^{-4}+\frac{3x^{-1}}{2}+5x-4}$

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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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