Question

Find the value of x if (11/9)³ x (/)⁶ ( 11/9) ²×-¹​

Answer 1

Answer:

a=5

Step-by-step explanation:

(11/9)³ x (9/11)⁻⁶ = (11/9)²ᵃ⁻¹.                                                                   Reciprocal of (9/11)⁻⁶ is (11/9)³*².

(11/9)³ x (11/9)³*² = (11/9)²ᵃ⁻¹

we know that a^b*a^c=a^b+c

∴(11/9)³ x (11/9)³*² can be written as (11/9)^3+6=(11/9)^9.

∴(11/9)^9.= (11/9)²ᵃ⁻¹

equate the bases,

9=2a-1

9+1=2a

10=2a

a=5

HOPE THIS HELPS.

Answer 2

Answer:

this is a correct answer

Step-by-step explanation:

(11/9)³ x (9/11)⁻⁶ = (11/9)²ᵃ⁻¹. Reciprocal of (9/11)⁻⁶ is (11/9)³*². ∴(11/9)³ x (11/9)³*² can be written as (11/9)^3+6=(11/9)^9.