Question

Show that (x^a / x^b)^c X (x^b / x^c)^a X (x^c / x^a)^b = 1.

Answer 1

Answer:

$(x^a / x^b)^c \times (x^b / x^c)^a \times (x^c / x^a)^b = 1 \\ x^{ac} / x^{bc} \times x^{bc}/ x^{ac} \times x^{bc} / x^{ab} = 1 \\ on \: solving \: we \: get \\ x^{bc} / x^{ab} = 1 \\ {1}^{bc - ab} = 1 \: \: \: \: \: \: \: \: \: \: \: \: (x \: is \: divided \: by \: x) \\ 1 \: power \: to \:anything \: will \: be \: 1 \\ 1 = 1$