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Solve the product power $\left(21c^{18}\right)^{-1}$

Step-by-step Solution

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$\frac{1}{21c^{18}}$
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 Step-by-step Solution 

Specify the solving method

1

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{1}{\left(21c^{18}\right)^{1}}$
2

Any expression to the power of $1$ is equal to that same expression

$\frac{1}{21c^{18}}$

$\frac{1}{21c^{18}}$

 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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind 21c^18^(-1) using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

SnapXam A2

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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

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