Middle School

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Which expression is equivalent to [tex]3\sqrt{27x^{18}}[/tex]?

A. [tex]3x^3[/tex]
B. [tex]3x^6[/tex]
C. [tex]9x^3[/tex]
D. [tex]9x^6[/tex]

Answer :

Answer:

3 x^6

Step-by-step explanation:

I believe you are asking for the cube root of (27x^18)

(27 x^18) ^ (1/3)

I will use the property (ab)^c = a^c * b^c

27 ^ 1/3 * x^18 ^ 1/3

Now I can use the property a^ b^ c = a^ (b*c)

3 * x^( 18* 1/3)

3 * x^ (6)

3 x^6

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