Solve the rational equation $y=\sqrt{\frac{\left(x+1\right)^{10}}{\left(3x-7\right)^9}}$

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Final answer to the problem

$y=\frac{\left(x+1\right)^{5}}{\sqrt{\left(3x-7\right)^{9}}}$
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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

Learn how to solve rational equations problems step by step online.

$\frac{\sqrt{\left(x+1\right)^{10}}}{\sqrt{\left(3x-7\right)^9}}$

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Learn how to solve rational equations problems step by step online. Solve the rational equation y=(((x+1)^10)/((3x-7)^9))^(1/2). The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify \sqrt{\left(3x-7\right)^9} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals \frac{1}{2}. Simplify \sqrt{\left(x+1\right)^{10}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{2}. Simplify \sqrt{\left(3x-7\right)^9} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals \frac{1}{2}.

Final answer to the problem

$y=\frac{\left(x+1\right)^{5}}{\sqrt{\left(3x-7\right)^{9}}}$

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Function Plot

Plotting: $y-\sqrt{\frac{\left(x+1\right)^{10}}{\left(3x-7\right)^9}}$

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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

How to improve your answer:

Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

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