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Solve the product power $\sqrt[8]{a^{16}b^{15}}$

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 Solution

$a^{2}\sqrt[8]{b^{15}}$
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 Step-by-step Solution 

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The power of a product is equal to the product of it's factors raised to the same power

$\sqrt[8]{a^{16}}\sqrt[8]{b^{15}}$

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$\sqrt[8]{a^{16}}\sqrt[8]{b^{15}}$

Learn how to solve problems step by step online. Solve the product power (a^16b^15)^1/8. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[8]{a^{16}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 16 and n equals \frac{1}{8}. Multiply 16 times \frac{1}{8}. Multiply 16 times \frac{1}{8}.

$a^{2}\sqrt[8]{b^{15}}$

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1
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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