Please help me if you know ans of the equation given in the attachment (full steps required) (No spam answers or else you'll be reported)

Question

asked Jun 23, 2022 162k views

1 Answer

Anttu · Answer 1 · 2022-06-28T13:31:12+0000

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