which expression is equivalent to (144k^2r^14)^1/2 for all positive values of k and r?
F ) 12kr7
G ) 72k^2r^14
H ) 144kr^7
J ) 12k^2r^14
The expression (144k^2r^14)^(1/2) can be simplified by dividing the exponent 1/2 to each term inside the parentheses:
(144)^(1/2) * (k^2)^(1/2) * (r^14)^(1/2)
The square root of 144 is 12 and the square root of k^2 is k. The square root of r^14 can be simplified to r^7.
12kr^7
Therefore, the answer is F) 12kr^7.