Use Radical notation to rewrite expression 343^2/3

Question

Use Radical notation to rewrite expression 343^2/3. simplify if possible.

 

343^2/3 =

Answer 1

1) the radical notation is= ³√343²

2) this simplifies to= (³√343)*(³√343)

3) now, the only number that you can multiply 3 times and give you 343 is 7, so...

4) 7*7=49 and if you verify in the calculator the answer is 49

Answer 2

343^(2/3) = (343^(1/3))^2 = the square of the cube root of 343

 

343 = 7*49 = 7*7*7 = 7^3

 

(343^(1/3))^2 = ((7^3)^(1/3))^2 = 7^2 = 49

Answer 3

The fractional exponent is telling you how high the exponent and the root is.  The numerator (top number) is the exponent in this case squared.  The denominator (bottom number) is telling you they want the cubed root of the resulting number.

 

343^2=117649 => 3√117649 => see if you can simplify (hint this is a perfect cube).