How do you simplify #(2^ { 3} 4^ { \frac { 1} { 3} } ) ^ { \frac { 1} { 3} }#?

2 Answers
Jun 3, 2018

#2xx4^(1/9)#

Jun 3, 2018

#2^(11/9)#

Explanation:

#(2^3 cdot 4^(1/3))^(1/3)#

#(2^3 cdot 2^(2(1/3)))^(1/3)#

#(2^3 cdot 2^(2/3))^(1/3)#

#(2^(3 + 2/3))^(1/3)#

#(2^(3/1 + 2/3))^(1/3)#

#(2^((9 + 2)/3))^(1/3)#

#(2^(11/3))^(1/3)#

#2^(11/3 xx 1/3)#

#2^(11/9)#