Question

Please help me if you know ans of the equation given in the attachment

(full steps required)
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Answer 1

Explanation:

x=y³/z

(y³/z) to the power of a = y to the power of b

`{y}^(3a) / {z}^(a) = {y}^(b)`

`{y}^(3) / z = {y}^(b / a)`

`{y}^(3 / b) / {z}^(1 / b) = {y}^(1 / a)`

`{y}^(3 / b) = {y}^(1 / a) {z}^(1 / b)`

`{y}^(b) = {z}^(c)`

`z = {y}^(b / c)`

`{y}^(3 / b) = {y}^(1 / a) * ({y^(b / c) })^(1 / b)`

`{y}^(3 / b) = {y}^(1 / a) * {y}^(1 / c)`

as b/c × 1/b = 1/c

and so we see based on the exponents that

3/b = 1/a + 1/c