express as a rational number step by step [-2÷3]^2 × [-2÷3]^-1
Answers
Answered by
0
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...
(-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...
Answered by
0
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
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
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