Question

please answer with explanation​

Answer 1

Step-by-step explanation:-

$i = {({x}^{6} \cdot {y}^{ - \frac{5}{4}})}^{ \frac{ - 4}{3}}$

$i \: = {x}^{ \frac{6 \times - 4}{3}} \cdot {y}^{ \frac{ - 5 \times - 4}{4 \times 3}}$

$i \: = {x}^{ - 8} \cdot {y}^{ \frac{5}{3}}$

So option B is correct .

Explanation :-

This is happening because the power is multiplying with each other according to theory of indices .

${({a}^{m} )}^{n} = {a}^{m \cdot n}$

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Answer 2

Answer:

Step-by-step explanation:-

$i = {({x}^{6} \cdot {y}^{ - \frac{5}{4}})}^{ \frac{ - 4}{3}}$

$i \: = {x}^{ \frac{6 \times - 4}{3}} \cdot {y}^{ \frac{ - 5 \times - 4}{4 \times 3}}$

$i \: = {x}^{ - 8} \cdot {y}^{ \frac{5}{3}}$

So option B is correct .

Explanation :-

This is happening because the power is multiplying with each other according to theory of indices .

${({a}^{m} )}^{n} = {a}^{m \cdot n}$

Thank You , Please Like the answer.