Question

A and B are both positive integers. (a^1/2 x b^1/3)^6=432. What is ab?

Answer 1

@terenzreignz

Answer 2

Far more difficult than I'm accustomed to :(
\[\Large \left(a^{\frac12}\cdot b^{\frac13}\right)^6=432\]

Answer 3

\[\Large \left.a^{3}\cdot b^{2}\right.=432\]

Answer 4

And then, I suppose, factor 432 into primes.

Answer 5

Factor 432 and you should get 3^3 x 2^4, and that 2^4 is equal to 4^2 therefore the answer is 12 ?

Answer 6

a^1/2 x b^1/3)^6=432
a^3b^2= 16 * 27
a^3b^2= 4^2 * 3^3

identicaly the powers, see the bases you would found the number a and b respectively

Answer 7

thanks :)

Answer 8

welcome :)