Question

express as a rational number step by step [-2÷3]^2 × [-2÷3]^-1

Answer 1

hey friend!!

(-2/3)² × (-2/3)^-1

→ (-2/3)²

→ = (-2)²/(3)²

→ = 4/9



→ (-2/3)^-1

→ (2/-3)¹

{a^-n = 1/aⁿ}

→ 2¹/(-3)¹

→ 2/-3

→ -3/2


(-2/3)² × (-2/3)^-1

→ 4/9 × (-3/2)

→ -12/18

→ -4/6

→ -2/3

hope it helps...

Answer 2

let -2/3 =x
so the question becomes
x^2 * x^-1
=x^2/x^1
=x^2-1 (a^m/a^n=a^m-n)
=x^1
=x = -2/3