2 Answers

Dimitris Sfounis · Answer 1 · 2019-04-26T14:19:49+0000

Solution:

A is the correct option.

Step-by-step explanation:

We have to find the cube root of
27x^(18)

In order to find the cube root of the expression, we find the factors of 27.

27= 3 * 3* 3= 3^3

Also x^18 can be written as

x^(18)=(x^6)^3

Replace the given expression with these values, we get

$\sqrt[3]{27x^(18)} =\sqrt[3]{3^3 \cdot (x^6)^3 }$

Now, we have the formula,

$\sqrt[n]{x^n} =x$

Using this formula, the cube with the cube root got cancelled and we are left with

$\sqrt[3]{27x^(18)} = 3\cdot x^6$

Therefore, the cube root of 27x^18 is 3x^6.

A is the correct option.

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