Middle School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ What is the cube root of [tex]8x^{27}[/tex]?

A. [tex]2x^3[/tex]
B. [tex]2x^9[/tex]
C. [tex]4x^3[/tex]
D. [tex]4x^9[/tex]

Answer :

Answer:

2 x^9

Step-by-step explanation:

8x ^27

We want to take the cube root

(8x ^27) ^1/3

We know that (ab)^1/3 = a^1/3 * b^1/3

(8) ^ 1/3 (x ^27) ^1/3

Re writing 8 as 2^3

(2 ^3) ^ 1/3 (x ^27) ^1/3

We know that a^b^c = a^ (b*c)

(2 ^(3* 1/3) *x ^(27 *1/3)

2 ^ 1 * x ^ 9

2 x^9

Other Questions