Question #847b3
2 Answers
Feb 20, 2018
C.
Explanation:
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Feb 20, 2018
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))^m∙xamn=(n√a)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=(3√27)2=32=9
rArr(27x^3)^(2/3)=9x^2toC⇒(27x3)23=9x2→C