Question

Find the x
Write in steps ​

Answer 1

Step-by-step explanation:

81 = 9² , 729 = 3 × 3 × 3 = 3³

now,

( 81 )^-4 ÷ ( 729 )^2-x = ( 9 )^4x

making the bases as same = 9,

( 9² )^-4 ÷ ( 9³ )^2-x = ( 9 )^4x

9^2x-4 ÷ 9^3x(2-x) = 9^4x [ (a^m)ⁿ = a^m×n ]

→ 9^-8 ÷ 9^6-3x = 9^4x

→ 9^-8-(6-3x) = 9^4x

→9^-8-6+3x = 9^4x

→9^-14+3x = 9^4x [ a^m ÷ aⁿ = a^m-n ]

Therefore, bases are same then powers are equal

→ -14 + 3x = 4x

→ 4x - 3x = -14

→ x = -14

Now the value of x = -14.

It's late night otherwise I would have given you answer in attachment.

hope this answer helps you dear...and your concept is clear.

sleep early and we'll!