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What is the simplified form of the ninth root of x times the ninth root of x times the ninth root of x times the ninth root of x?
A: 4 times the ninth root of x
B: the ninth root of 4x
C:x to the four ninths power
D: x to the nine fourths power

Respuesta :

antonsandiego
Let's convert the task into an example, simplifyng which will make us able to get the answer.
So, according to the task: [tex] \sqrt[9]{x} * \sqrt[9]{x} * \sqrt[9]{x} * \sqrt[9]{x} = \sqrt[1/ 9 ]{x} * \sqrt[1/9]{x} * \sqrt[1/9]{x} * \sqrt[1/9]{x} [/tex]

Now we can simplify: [tex] \sqrt[1/9]{x} + 1/9+1/9+1/9 = x^{4/9} [/tex]

So the answer is  C:x to the four ninths power
The answer would be: C:x to the four ninths power

In this question, you have ninth root of x or [tex] \sqrt[9]{x} [/tex] or x^1/9
The number is then multiplied with itself by 4 times which mean it become (x^1/9)^4 
If you solve the equation, it should become x^4/9

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