Question

find the value of n if -2/3=(-3/2)^n​

Answer 1

Answer:

-1

Step-by-step explanation:

-2/3 = (-3/2)ⁿ

(-3/2)⁻¹ = (-3/2)ⁿ

n = -1

Answer 2

Hey mate ,

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

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

When we reverse the fraction the sign of exponent becomes opposite .

Now ,

since bases are same , we can equate the power

$1 = - n$

$n = - 1$

Hope you find it helpful !!

Do mark it as brainliest !!!