Question

find the multiplicative inverse of [(-3/2)^-4]^1/2​

Answer 1

Answer:

9/4

Step-by-step explanation:

[(-3/2) power -4]power 1/2

(-3/2)power-4 × 1/2. 2 cuts the 4 makes them 2

(-3/2)-2. to make the power positive we convert it

(-3/2)2 the negative integer is multiplied by even times then it convert to positive

9/4

Answer 2

Answer: 9/4

Step-by-step explanation:

((-3/2)^-4)^1/2

=((2/-3)^4)^1/2

=(2^4/-3^4)^1/2

=(2*2*2*2/-3*-3*-3*-3)^1/2

=(16/81)^1/2

=(4^2/9^2)^1/2*2

=(4/9)^1

=4/9

i.e. Multiplicative Inverse = 9/4