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1)^3√-1/125 simplify -1/5 2)22-13r+r^2 factor completely (r-2)(r-11) 3)What does it mean to refer to a 20-in tv set or a 25-in tv set? Such unites refer to the diagonal of the screen, A35-in tv set also has a with of 28 inches. What is its height? What is the height of a 35in tv? 21in 4)^5√x^15= x3 5) 7x-35/33 divided by x-5/77x = 49 x 3 6)Multiply and simplify assume variables represent nonzero real numbers x^15*x^0= x15 7)rewrite the following expressions with positive esponets 1 (31xy)^-9/10 = 9 (36 xy)10 8)simplify by removing factores of 1 s6 s^2-36/(s+6)^2 = s6 9)r^2+5r-36=0 r = 4, -9 10)subtract the polynomials (-7r^2+8r+4)-(9r^2+4) simplify -17r2+8r 11) factore completely 3x^7-6x^6+18x^5 3x5(x2-2x+6) 12)√12a^2 b = 2a 3b 13)x^1/4*y^1/8*z^1/6 write as a single radical expression 24 x6 y3 z 4 14)Write a quadratic equation in the variable x having the given numbers as solutions. type the equation in standard form ax^2+bx+c=0 solution:7 only solution x2-14x+49 = 0 15)12s^2+36st+27t^2 factor completely 3(2s+3t)(2s+3t) 16)Use the quadratic formuly to solve the equation x^2-5x=-10 5 15 5 15 , 2 2 17)4x(x-6)-5x(x-5)=-1, x= 1 5 1 5 , 2 2 18) in a right triangle find the length of the side not given b=1, c=√26 5 19)6/z=9/z-1/11 z =33 1 20) rewrite with a rational exponent,^3√22 = 22 3 21) add (2a^4-2a^3+3a^2+11a-7)+(a^5+7a^3+4a^2-3a+4)+(-5a^4+a^2-5a-8) = a5-3a4+5a3+8a2+3a-11 22)factore the trinomial r^3-4r^2-45r = r(r+5)(r-9) 23)subtract, simplify if possiable 6-8x/x-8-9x-7/8-x x 1 x 8 24)Perform the indicated operations and simplify x-8//x-9-x+1/x+9+x-27/x^2-81 = 10 x9 25) express using a positive exponent 1 z^-2 = 2 z 26) Assume that the variables can represent any real number √(a+8)^2 =|a+8| 27)multipy and simplify 4b^2/5b^2-40b+80*5b-20/2b = Question is not clear. 28)Divide and simplify h^7/h^15 = 1 h8 29)add (4x^2-4xy+y^2)+(-7x^2-4xy-y^2)+(x^2+xy-3y^2) = -2x2-7xy-3y2 30)s^2-7s-18=0 s = -2, 9 31)6x^4-7x^2+2= 0 x= 1 1 2 2 , , , 3 2 2 3 32)divide (42b^3+23b^2+32b+41)divided by (6b+5) 7b 2 2b 7 6 6b 5 33) rationalize the denominator. Assume that all expressions under radicals represent positvie members √r-√s/√r+√s r s 2 rs rs