Question

2000= a^a×b^b find a & b value​

Answer 1

Step-by-step explanation:

If ({a^1/2}*{b^1/3})^6=2000, what is the value of ab?

1) a = 5

2) a and b are positive integers

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked

B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked

C) Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient

D) EACH statement ALONE is sufficient to answer the question asked

E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed

({a^1/2}*{b^1/3})^6=2000

==>a^3*b^2 = 2000

from statement 1 :

a = 5

125*b^2 = 2000

b^2 == 2000/125

b^2 == 16

b =4,-4

So ab will be 20,-20.

from statement 2

a,b are +ve

a^3*b^2 = 2000

this will be factorise in above only -- 125*16

so answer from this will be only 20.

So answer will be B.