Question

if x = to 3 by 2 raise to power 2 into 2 upon 3 raise to power minus 4 find the value of x raised to power minus 2

Answer 1

(a/b)^-n = (b/a)^n----(1)

a^m * a^n = a ^(m+n)----(2)
x=(3/2)^2 *(2/3)^-4
=(3/2)^2 *(3/2)^4
=(3/2)^(2+4)
x=(3/2)^6---(3)
Now
x^-2=(3/2)^(-2*6)
=(3/2)^-12
=(2/3)^12

Answer 2

(2/3)^-4=(3/2)^4
x=(3/2)^2(3/2)^4
base same add power
x=(3/2)^6

x^-2=1/x^2
x^-2=(2/3)^12