(-0,2m∧-2 n∧3)∧-3 ×0,1m∧6 n∧9 a∧-1 b∧5 ×(3a×b)∧-1 6,1x∧-3 y ×(0,1xy∧-1)∧-1 526. 1)x∧-1 +y∧-1 /(x+y)∧2 = 2)ab∧-1 -a∧-1 b/a∧-1 -x∧-1 = 3)25∧n /5∧2n-1 = 4)6∧n /2∧n-1 ×3∧n+1 =

(-0,2 m⁻² n³)⁻³  *   0.1 m⁶n⁹ = (-0.2)⁻³ * m⁻²*⁽⁻³⁾ n³*⁽⁻³⁾  * 0.1m⁶n⁹ = = (- 1/0.008) m⁶n⁻³  *  0.1m⁶n⁹ = (- 0.1/0.008)  * m⁶⁺⁶n⁻³⁺⁹ = -12.5m¹²n⁶ a⁻¹b⁵ * (3ab)⁻¹ = a⁻¹b⁵ *  3⁻¹a⁻¹b⁻¹ =3⁻¹ a⁻² b⁴ = b⁴ / 3a² 6.1x⁻³y * (0.1xy⁻¹)⁻¹ = 6.1x⁻³y¹ * 0.1⁻¹x⁻¹y¹ = ( 6.1/0.1 ) * x⁻⁴y² =  = 61x⁻⁴y² = 61y² / x⁴ №526. (х⁻¹ + у⁻¹) / (х+у)²   = [1/x   +  1/y ] /  (x+y)² = = [ (x+y)/xy ]   *   [ 1/ (x+y)² ]   = 1/(xy(x+y)) = 1/ (x²y+xy²) (ab⁻¹ - a⁻¹b)/ (a⁻¹ - b⁻¹)  =  [  a/b    -    b/a ] /  (1/a    -   1/b ] = =  [ (a² - b²) / (ab)  ]  /  [ (b-a)/ab ]  =  [ ((a-b)(a+b)) / ab ]   *  [ ab/ -(a-b) ]= = (a+b) /  (-1) = - (a+b) = -a - b 25ⁿ / 5²ⁿ⁻¹  = (5²)ⁿ  / ( 5²ⁿ ⁻¹ ) =  5²ⁿ⁻⁽²ⁿ⁻¹⁾= 5²ⁿ⁻²ⁿ⁺¹ =5¹= 5 6ⁿ/ (2ⁿ⁻¹ * 3ⁿ⁺¹) = (2ⁿ *3ⁿ )  / (2ⁿ⁻¹ *3ⁿ⁻¹) = 2ⁿ⁻⁽ⁿ⁻¹⁾ * 3ⁿ⁻⁽ⁿ⁺¹⁾ = =2ⁿ⁻ⁿ⁺¹ * 3ⁿ⁻ⁿ⁻¹=2¹ *3⁻¹= 2/3