Question

What is 3√27x^9 3x^6 3x^3 9x^3 9x^6

Answer 1

Heya user☺☺

It will be equal to....

(3x^3)^3/3
3x^3

So, option b is correct

Hope this will help☺☺

Answer 2

The first step for solving this expression is to know that the root of a product is equal to the product of the roots of each factor. Knowing this,, the expression becomes the following:
$\sqrt[3]{27} \sqrt[3]{ x^{9} }$
Write the number in the first square root in exponential form with a base of 3.
$\sqrt[3]{ 3^{3} } \sqrt[3]{ x^{9} }$
Now reduce the index of the radical and exponent in the second square root with 3.
$\sqrt[3]{ 3^{3} }$ x³
Lastly,, reduce the index of the radical and exponent with 3 to get your final answer.
3x³
This means that the correct answer to your question will be option B.
Let me know if you have any further questions.
:)