simplify by expressing with radicals n√x^3^n​

We can work with the exponents to simplify our expression, and we will get:

[tex]\sqrt[n]{x^{3n}} = x^3[/tex]

Remember that a root of degree n is equivalent to an exponent of 1/n.

This means that we can rewrite a root of degree n as:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then our expression:

[tex]\sqrt[n]{x^{3n}}[/tex]

Can be rewritten as follows.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]

Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.

Now we can take the product of the exponents to get.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]

You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.

That is the expression simplified.

Learn more about exponents at:

https://brainly.com/question/847241

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1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
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True
False

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8
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30%
riding
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Suppose Martina places $9000 in an account that pays 18% interest compounded each year.
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