Question

(3/2)5 ×(3/2)6 = (2/3)n-3​

Answer 1

since there is only one variable 'n'

so if we just follow the equations we may get the value of n .....let me make it simple for you.

3/2×5×3/2×6=(2/3)n -3

( simplifying lhs)

6/4×30=2n/3-3

6/2×15=2n/3-3 (addin both sides by 3 we get)

45+3= 2n/3 ( multiplying both sides by 3)

2n= 48×3

n= 48/2 ×3

n= 24×3

n = 72

hope it helps

please mark as brainalist

Answer 2

Answer:

${{3}/{2}}^5$

× ${{3}/{2}}^6$ = ${{2}/{3}}^n ^-3$

${m}^n$ × ${n } ^m$= ${mn}^m^+n$

so from this property we get

${{3}/{2}}^11$ = ${{2}/{3}}^n ^-3$

reciprocal of left hand side

${{2}/{3}}^-11 = [tex]{{2}/{3}}^n ^-3$

by comparing both LHS and RHS

-11 = n - 3

n = - 14

hope this help u