The value of \(x^{(a-b)}\times x^{(b-c)}\times x^{(c-a)}\) is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 1
When powers of the same base are multiplied, the exponents are added: \(x^{m}\times x^{n}=x^{m+n}\). Any non-zero number raised to the power 0 is 1.
Sum of the exponents \(=(a-b)+(b-c)+(c-a)=0\), since every letter cancels
So the product \(=x^{0}=1\)