Try NerdPal! Our new app on iOS and Android

# Simplify the algebraic expression $b^3b\sqrt{3a^2}\sqrt{6a^5}$

## Step-by-step Solution

Go!
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

### Videos

$3\sqrt{2}b^{4}\sqrt{a^{7}}$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

$\sqrt{3a^2} b^3\sqrt{6a^5}\cdot b$

Specify the solving method

1

When multiplying exponents with same base you can add the exponents: $b^3b\sqrt{3a^2}\sqrt{6a^5}$

$b^{\left(3+1\right)}\sqrt{3a^2}\sqrt{6a^5}$

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

$b^{\left(3+1\right)}\sqrt{3a^2}\sqrt{6a^5}$

Learn how to solve multiply powers of same base problems step by step online. Simplify the algebraic expression (3a^2)^1/2b^3(6a^5)^1/2b. When multiplying exponents with same base you can add the exponents: b^3b\sqrt{3a^2}\sqrt{6a^5}. Add the values 3 and 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.

$3\sqrt{2}b^{4}\sqrt{a^{7}}$
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

### Useful tips on how to improve your answer:

$\sqrt{3a^2} b^3\sqrt{6a^5}\cdot b$

### Main topic:

Multiply powers of same base

~ 0.05 s