Question

find the value of a when (3/2)^a = [(3/2)^-2]^2​

Answer 1

Answer:

a=-4

Step-by-step explanation:

(3/2)^a=(3/2)^-4

Answer 2

(3/2)^a = [(3/2)^-2]^2

${( \frac{3}{2} )}^{a} = {{(( \frac{3}{2} )}^{ - 2})}^{2} \\ = {( \frac{3}{2} )}^{( - 2) \times 2 } \\ = { \frac{3}{2} }^{( - 4) }$

By comparing,we get

${ \frac{3}{2} }^{a} = { \frac{3}{2} }^{( - 4)} \\ a = ( - 4)$

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