Question

simplify 5^ -3 X 6 ^ 3 X 8^-2 divided by 5 ^-4 X 12 ^2 X 2 ^-6

Answer 1

Please Mark It As The BRAINLIEST

5⁻³ X 6³ X 8⁻²

5⁻⁴ X 12² X 2⁻⁶

5⁻³ X ( 2 X 3 )³ X ( 2³ )⁻²

 5⁻⁴ X ( 2² X 3 )² X 2⁻⁶

5⁻³ X 2³ X 3³ X 2⁻⁶

5⁻⁴ X 2⁴ X 3² X 2⁻⁶

Using Identities

(i) mᵃ X mᵇ = mᵃ⁺ᵇ    

(ii) mᵃ = mᵃ⁻ᵇ

    mᵇ

=> 5⁻³⁻⁽⁻⁴⁾ X 2³⁺⁽⁻⁶⁾⁺⁴⁺⁽⁻⁶⁾ X 3³⁻²

=> 5¹ X 2⁻⁵ X 3¹

=> 5¹ X 3¹

      2⁻⁵

=> 5 X 3

      32

=> 15

   32