ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Simplify the algebraic expression $4\cdot 2r^{-3}r^2$

Go!
Symbolic mode
Text mode
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

##  Final answer to the problem

$\frac{8}{r^{\left|-1\right|}}$
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.
1

Multiply $4$ times $2$

$8r^{-3}r^2$

Learn how to solve multiply powers of same base problems step by step online.

$8r^{-3}r^2$

Learn how to solve multiply powers of same base problems step by step online. Simplify the algebraic expression 4r^(-3)*2r^2. Multiply 4 times 2. When multiplying exponents with same base we can add the exponents. Add the values -3 and 2. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.

##  Final answer to the problem

$\frac{8}{r^{\left|-1\right|}}$

##  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

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

###  Main Topic: Multiply powers of same base

When multiplying powers of same base we can add the exponents.