Question

What is the value of (9^7)^3/14, in simplest terms?

Answer 1

multiplying the exponents we get 

9 ^(7*3/14) 

= 9^(21/14)

= 9^(3/2)


this equals the cube of the square root of 9

= 3^3  = 27

Answer 2

$(9^7)^{ \frac{3}{14} }=9^{7* \frac{3}{14} }=9^{ \frac{3}{2} }= (3^2)^{ \frac{3}{2} }=3^{2* \frac{3}{2} }=3^3=27$