Question

((x ^ 2) ^ (a + b) * (x ^ 2) ^ (b + c) * (x ^ 2) ^ (c + a))/((x ^ a * x ^ b * x ^ c) ^ 4)

Answer 1

Answer:

1 is the answer

Step-by-step explanation:

IF BASE IS SAME AND USE MULTIPLY IN BETWEEN TWO BASE THEN POWER IS ADD

((x ^ 2) ^ (a + b) * (x ^ 2) ^ (b + c) * (x ^ 2) ^ (c + a))/((x ^ a * x ^ b * x ^ c) ^ 4)

((x ^ 2) ^ (a + b) * (x ^ 2) ^ (b + c) * (x ^ 2) ^ (c + a))

= (( x^2) ^ ( a+b) +(b+c) +(c+a)) / (x ^ a * x ^ b * x ^ c) ^ 4)

then subtract it value of division

= x^2 ^ ( a + b + b +c + c + a)

= x^2 ^ 2(a + b + c)) / (x ^ a * x ^ b * x ^ c) ^ 4)

= x^4 ( a + b + c) / ( x ^a + b + c) ^4

= 1