Question

please help me if you know ans of the equation given in the attachment
(full steps required)
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Answer 1

Step-by-step explanation:

x=y³/z

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

${y}^{3a} \div {z}^{a} = {y}^{b}$

${y}^{3} \div z = {y}^{b \div a}$

${y}^{3 \div b} \div {z}^{1 \div b} = {y}^{1 \div a}$

${y}^{3 \div b} = {y}^{1 \div a} {z}^{1 \div b}$

${y}^{b} = {z}^{c}$

$z = {y}^{b \div c}$

${y}^{3 \div b} = {y}^{1 \div a} \times ({y^{b \div c} })^{1 \div b}$

${y}^{3 \div b} = {y}^{1 \div a} \times {y}^{1 \div c}$

as b/c × 1/b = 1/c

and so we see based on the exponents that

3/b = 1/a + 1/c