Question #847b3

2 Answers
Feb 20, 2018

C. 9x^2

Explanation:

(27x^3)^(2/3)= root(3)((27x^3)^2)

= root(3)( 729x^6 )
= root(3)(729) * root(3)x^6
=9x^2

Feb 20, 2018

9x^2toC

Explanation:

"using the "color(blue)"laws of exponents"

•color(white)(x)(a^mb^n)^p=a^(mp)b^(np)

•color(white)(x)a^(m/n)=(root(n)(a))^m

rArr(27x^3)^(2/3)=27^(2/3)x^((3xx2/3))=27^(2/3)x^2

27^(2/3)=(root(3)(27))^2=3^2=9

rArr(27x^3)^(2/3)=9x^2toC