Step-by-step Solution

Simplify the quotient of powers $\frac{\left(4x^{121\cdot -1}y^4z^8\right)^3}{\left(9xy^3z^5\right)^4}$

Go!
1
2
3
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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step Solution

Problem to solve:

$\frac{\left(4x^{121\left(-1\right)} y^4 z^8\right)^3}{\left(9x y^3 z^5\right)^4}$

Solving method

Learn how to solve quotient of powers problems step by step online.

$\frac{\left(4x^{-121}y^4z^8\right)^3}{\left(9xy^3z^5\right)^4}$

Unlock this full step-by-step solution!

Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((4x^(121*-)*y^4*z^8)^3)/((9x*y^3*z^5)^4). Multiply 121 times -1. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\frac{\frac{2}{205}z^{4}}{x^{367}}$
$\frac{\left(4x^{121\left(-1\right)} y^4 z^8\right)^3}{\left(9x y^3 z^5\right)^4}$

Main topic:

Quotient of powers

Time to solve it:

~ 0.08 s