How do I simplify this? (9r^6)^(3/2)
And How do I solve this: √(4x)=x
In (9r6)3/2, split as (9)3/2 · (r6) 3/2
For (9)3/2: = (√9)3 = 33 = 27
In (r6) 3/2 multiply the exponents: 6 x 3/2 = 9 ---> r9
So the answer is 27r9.
For: √(4x) = x
Square both sides: 4x = x²
---> 0 = x² - 4x ---> 0 = x(x - 4) ---> x = 0 or x = 4