Question

simplify:
(x^a/x^b)^a+b ×(x^b/x^c)^b+c ×(x^c/x^d)^c+a​

Answer 1

$\huge\color{orange}\boxed{\colorbox{black}{\sf{☣ANSWER☣}}}$

$\large \: {( \frac{ {x}^{a} }{ {x}^{b} }) }^{a + b} \times {( \frac{ {x}^{b} }{ {x}^{c} }) }^{b + c} \times {( \frac{ {x}^{c} }{ {x}^{d} } )}^{c + d}$

$\large \frac{ {x}^{a(a + b)} }{ {x}^{b(a + b)} } \times \frac{ {x}^{b(b + c)} }{ {x}^{c(b + c)} } \times \frac{ {x}^{c(c + d)} }{ {x}^{d(c + d)} }$

$\large \frac{ {x}^{ {a}^{2} + b} }{ {x}^{a + {b}^{2} } } \times \frac{ {x}^{ {b}^{2} + c } }{ {x}^{b + {c}^{2} } } \times \frac{ {x}^{ {c}^{2} + d} }{ {x}^{c + {d}^{2} } }$

$\large \frac{ {x}^{ {a}^{2} + b + {b}^{2} + c + {c}^{2} + d } }{ {x}^{a + {b}^{2} + b + {c}^{2} + c + {d}^{2} } }$

$\large\frac{ {x}^{b + c + d + {a}^{2} + {b}^{2} + {c}^{2} } }{ {x}^{a + b + c + {b}^{2} + {c}^{2} + {d}^{2} } }$