Question

Give an explanation for the solution​

Answer 1

Answer:

THEREFORE ,

${a}^{ \frac{ {x}^{2} - {y}^{2} }{x + y} } . {a}^{ \frac{ {y}^{2} - {z}^{2} }{y + z} } . {a}^{ \frac{ {z}^{2} - {x}^{2} }{z + x} } \\ \\ = 1.$

Step-by-step explanation:

${a}^{ \frac{ {x}^{2} - {y}^{2} }{x + y} } . {a}^{ \frac{ {y}^{2} - {z}^{2} }{y + z} } . {a}^{ \frac{ {z}^{2} - {x}^{2} }{z + x} } \\ \\ = {a}^{x - y} . {a}^{y - z} . {a}^{z - x} \\ \\ = {a}^{x - y + y - z + z - x} \\ \\ = {a}^{0} \\ \\ = 1.$