Simplify the product of radicals $-\sqrt[5]{\left(32\right)^{3}}$

Step-by-step Solution

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

$-\sqrt[5]{\left(2\right)^{9}}\sqrt[5]{\left(2\right)^{6}}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Write in simplest form
  • Prime Factor Decomposition
  • 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
  • Load more...
Can't find a method? Tell us so we can add it.
1

Rewrite $32$ as a power

$-\sqrt[5]{\left(2^{5}\right)^{3}}$

Learn how to solve product of radicals problems step by step online.

$-\sqrt[5]{\left(2^{5}\right)^{3}}$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve product of radicals problems step by step online. Simplify the product of radicals -32^(3/5). Rewrite 32 as a power. Split 2^{5} as a product of powers of 2. The power of a product is equal to the product of it's factors raised to the same power. Rewrite 16 as a power.

Final answer to the problem

$-\sqrt[5]{\left(2\right)^{9}}\sqrt[5]{\left(2\right)^{6}}$

Exact Numeric Answer

$-8$

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

Help us improve with your feedback!

Function Plot

Plotting: $-\sqrt[5]{\left(2\right)^{9}}\sqrt[5]{\left(2\right)^{6}}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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: Product of Radicals

The product of radicals is an expression that involves the multiplication of two or more radicals.

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account