Question #847b3

2 Answers
Feb 20, 2018

C. 9x^29x2

Explanation:

(27x^3)^(2/3)(27x3)23= root(3)((27x^3)^2)3(27x3)2

= root(3)3( 729x^6729x6 )
= root(3)(729) * root(3)x^637293x6
=9x^2=9x2

Feb 20, 2018

9x^2toC9x2C

Explanation:

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

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

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

rArr(27x^3)^(2/3)=27^(2/3)x^((3xx2/3))=27^(2/3)x^2(27x3)23=2723x(3×23)=2723x2

27^(2/3)=(root(3)(27))^2=3^2=92723=(327)2=32=9

rArr(27x^3)^(2/3)=9x^2toC(27x3)23=9x2C