Respuesta :

absor201

Answer:

First Option

Step-by-step explanation:

Given expression is:

[tex]\sqrt[4]{x^{10}}[/tex]

The radicand's exponent will be made multiple of 4 to make the calculations easy

So,

[tex]= \sqrt[4]{x^8 * x^2}[/tex]

The 4 outside the radical means that the power that will be multiplied with the exponents will be 1/4

So,

[tex]= x^{(8*\frac{1}{4})} * x^{(2*\frac{1}{4})}\\=x^2 \sqrt[4]{x^2}[/tex]

As x^2 couldn't be solved using radical, it will remain inside the radical.

So the correct answer is first option..

luisejr77

Answer: First option.

Step-by-step explanation:

Knwing that we must find which is the equivalent expression of the expression [tex]\sqrt[4]{x^{10}}[/tex], it is important to remember the Product of powers property, which states the following:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

The we can rewrite the expression:

 [tex]=\sqrt[4]{x^8x^2}[/tex]

Remember that:

[tex]\sqrt[n]{a^n}=a[/tex]

Then we get this equivalent expression:

 [tex]=x^2(\sqrt[4]{x^2})[/tex]

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