How do you simplify $4^(1/2)8^(1/3)$ ?

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Answer 1 · 2017-10-02T00:49:12

$4^(1/2)8^(1/3)=4$

Remember that

$4=2 times 2= 2^2$

and

$8=4 times 2 = 2 times 2 times 2 = 2^3$

Then,

$4^(1/2)8^(1/3)=2^((2)^(1/2))2^((3)^(1/3))=2^(2/2)2^(3/3)=2^1 2^1=2(2)=4$

Answer 2 · 2017-10-02T00:52:07

$4$

$4^(1/2)=(2*2)^(1/2)=(2^2)^(1/2)=2^(2/2)=2$
$8^(1/3)=(2*2*2)^(1/3)=(2^3)^(1/3)=2^(3/3)=2$
$:.4^(1/2)*8^(1/3)=2*2=4$

How do you simplify 4^(1/2)8^(1/3)4^(1/2)8^(1/3)?