Solve the product power $\left(\frac{n^{5x}}{n^{\left(3x+1\right)}}\frac{n^{2x}}{n^3}\right)^{\left(x-2\right)}$

Step-by-step Solution

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Final answer to the problem

$n^{\left(4x-4\right)\left(x-2\right)}$
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Step-by-step Solution

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Simplify the fraction $\frac{n^{5x}}{n^{\left(3x+1\right)}}$ by $n$

Learn how to solve power of a product problems step by step online.

$\left(n^{\left(5x-\left(3x+1\right)\right)}\frac{n^{2x}}{n^3}\right)^{\left(x-2\right)}$

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Learn how to solve power of a product problems step by step online. Solve the product power ((n^(5x))/(n^(3x+1))(n^(2x))/(n^3))^(x-2). Simplify the fraction \frac{n^{5x}}{n^{\left(3x+1\right)}} by n. Simplify the fraction \frac{n^{2x}}{n^3} by n. When multiplying exponents with same base we can add the exponents. Combining like terms 5x and 2x.

Final answer to the problem

$n^{\left(4x-4\right)\left(x-2\right)}$

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Function Plot

Plotting: $n^{\left(4x-4\right)\left(x-2\right)}$

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2
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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
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: Power of a product

The power of a product of factors is equal to the product of each factor to the same power: $\left(b\cdot c\right)^n=b^n\cdot c^n$.

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