Question

find the value of x..



best answer will be marked as brainliest..
​

Answer 1

$\huge\boxed{\fcolorbox{cyan}{red}{Solution:-}}$.

➡given here .

↪[ (-6/11)^x] ÷ [ (-6/11)^-²] ^-¹ = [ (-6/11)²]^-³.

[ (-6/11)^x] ÷ [ (-6/11)^-²] ^-¹ = [ (-6/11)²]^-³.↪[ (-6/11)^x] ÷ [ (-6/11)²] = [ (-6/11)^(-6)].

[ (-6/11)^x] ÷ [ (-6/11)^-²] ^-¹ = [ (-6/11)²]^-³.↪[ (-6/11)^x] ÷ [ (-6/11)²] = [ (-6/11)^(-6)].↪[(-6/11)^(x-2)] = [ (-6/11)^(-6)].

[ (-6/11)^x] ÷ [ (-6/11)^-²] ^-¹ = [ (-6/11)²]^-³.↪[ (-6/11)^x] ÷ [ (-6/11)²] = [ (-6/11)^(-6)].↪[(-6/11)^(x-2)] = [ (-6/11)^(-6)].↪(x-2)=-6.

[ (-6/11)^x] ÷ [ (-6/11)^-²] ^-¹ = [ (-6/11)²]^-³.↪[ (-6/11)^x] ÷ [ (-6/11)²] = [ (-6/11)^(-6)].↪[(-6/11)^(x-2)] = [ (-6/11)^(-6)].↪(x-2)=-6.↪x= -6+2.

[ (-6/11)^x] ÷ [ (-6/11)^-²] ^-¹ = [ (-6/11)²]^-³.↪[ (-6/11)^x] ÷ [ (-6/11)²] = [ (-6/11)^(-6)].↪[(-6/11)^(x-2)] = [ (-6/11)^(-6)].↪(x-2)=-6.↪x= -6+2.↪x= -4.

▶Inportance formula .

✔if, a^m = a^n , so , m=n.

✔if, a^m/a^n = a^(m-n).

➡Hopes its helps u.

@Abhi❤❤