Question

please solve the problem​

Answer 1

Answer:

here is the answer

Step-by-step explanation:

To show:

${(a}^{x)y - z} \times {(a}^{y)z - x} \times {(a}^{z)x - y} = 1$

Proof:

${a}^{xy - xz} \times {a}^{yz - xy} \times {a}^{zx - zy}$

since,

${(a}^{ {m)}^{n} } = {a}^{mn}$

We also know that,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${a}^{xy - xz + yz - xy + zx - zy} = {a}^{0}$

since, any number raised to the power zero is equal to 1

${a}^{0} = 1$

Therefore,

${(a}^{x)y - z} \times {(a}^{y)z - x} \times {(a}^{z)x - y} = 1$

hence proved