PLEASE HELP ASAP I AM TIMED D O NOT GUESS EXPLAIN URE ASNWER
Which experssion in the second is equivilaent to the experssion first image?

PLEASE HELP ASAP I AM TIMED D O NOT GUESS EXPLAIN URE ASNWER Which experssion in the second is equivilaent to the experssion first image class=
PLEASE HELP ASAP I AM TIMED D O NOT GUESS EXPLAIN URE ASNWER Which experssion in the second is equivilaent to the experssion first image class=

Respuesta :

The 4th roots of a^12 = a^3  so we can take out a^3
4th root of 144 =  4th root of 9 * 2   so we can also take out 2

The answer is the first choice.
4sqrt(144a^12b^3

 factor out 16:

4sqrt16*9a^12b^3

rewrite 16 using a power"
4 sqrt(2^4*9a^12b^3)

rewrie a12 as (a^3^4)

4sqrt( 2^4(a^3)^4 x 9b^3)

rewrite 2^4(a^3)^4 as (2a^3)^4

4sqrt((2a^3)^4 *9b^3)

pull terms out from under the radical:

2a^3 4sqrt(9b^3)

 Answer is A