Question

simplify (x^a÷x^b) a+b =(x^c÷x^a) c+a ​

Answer 1

Answer:

Final answer= x^2a-b-c=(c+a)/(a+b)

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

$(\frac{ {x}^{a} }{ {x}^{b} } )a + b = (\frac{ {x}^{c} }{ {x}^{a} } )c + a$

Concept:

• if two value having same base with unlike power then their power gets added in multiplication and gets substracted in division.

$= > ( {x}^{a - b} )a + b =( {x}^{c - a} )c + a$

$= > \frac{ {x}^{a - b} }{ {x}^{c - a} } = \frac{c + a}{a + b}$

$= > {x}^{a - b - c + a} = \frac{c + a}{a + b}$

$\bold{= > {x}^{2a - b - c} = \frac{c + a}{a + b}}$