Mathematics: Which of the following is equal to the square root of the cube root of 5? 5 to the power of one third 5 to the power of one sixth 5 to the power of two thirds 5 to the power of three halves

Which of the following is equal to the square

terrieldixon

30.12.2021

First option: 5 to the power of one sixth ( $5^{\frac{1}{6}}$ )

Step-by-step explanation:

It is important to remember the following:

$\sqrt[n]{\sqrt[m]{a} }=\sqrt[nm]{a}$

$\sqrt[n]{a}=a^{\frac{1}{n}$

In this case, given:

$\sqrt[2]{\sqrt[3]{5} }$

You can identify that:

n=2 and m=3

Therefore, knowing this, you can conclude that:

$=\sqrt[2*3]{5}=\sqrt[6]{5}=5^{\frac{1}{6}}$

You can observe that this answer matches with the second option.

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nathansnyder200

30.12.2021

5 to the power of one sixth

Step-by-step explanation:

$\sqrt[2]{\sqrt[3]{5}}\\(5^{\frac{1}{3}})^{\frac{1}{2}}\\5^{\frac{1}{6}}$

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makarockslynn4764

30.09.2020

Answer The First Graph

Step-by-step explanation:

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