Solve the product power $\left(150a^2b^3\right)^2$

Step-by-step Solution

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Final answer to the problem

$22500a^{4}b^{6}$
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Step-by-step Solution

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The power of a product is equal to the product of it's factors raised to the same power

$22500\left(a^2\right)^2\left(b^3\right)^2$

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

$22500\left(a^2\right)^2\left(b^3\right)^2$

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Learn how to solve power of a product problems step by step online. Solve the product power (150a^2b^3)^2. The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power 150^2. Simplify \left(a^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2.

Final answer to the problem

$22500a^{4}b^{6}$

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Function Plot

Plotting: $22500a^{4}b^{6}$

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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
|◻|
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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