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# Solve the product power $\left(x^{-2}x^{-3}\right)^4$

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##  Final answer to the problem

$\frac{1}{x^{20}}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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When multiplying exponents with same base we can add the exponents

$\left(x^{-2-3}\right)^4$

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

$\left(x^{-2-3}\right)^4$

Learn how to solve power of a product problems step by step online. Solve the product power (x^(-2)x^(-3))^4. When multiplying exponents with same base we can add the exponents. Add the values -2 and -3. Simplify \left(x^{-5}\right)^4 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -5 and n equals 4. Multiply -5 times 4.

##  Final answer to the problem

$\frac{1}{x^{20}}$

##  Explore different ways to solve this problem

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

SnapXam A2

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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

###  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: $\left(b\cdot c\right)^n=b^n\cdot c^n$.