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Solve the product power $\sqrt{10x^3}$

Step-by-step Solution

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Solution

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Final answer to the problem

$\sqrt{10}\sqrt{x^{3}}$
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Step-by-step Solution

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Learn how to solve power of a product problems step by step online. Solve the product power (10x^3)^(1/2). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{2}. Multiply the fraction and term in 3\cdot \left(\frac{1}{2}\right).

Final answer to the problem

$\sqrt{10}\sqrt{x^{3}}$

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Function Plot

Plotting: $\sqrt{10}\sqrt{x^{3}}$

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x
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(◻)
+
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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:

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

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