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28. Simplify the following: (2^6*3^3*5^32*6^12*〖10〗^4)/(〖10〗^2*2*6^8*5^31 ) Ans. (2^6*3^3*5^32*6^12*〖10〗^4)/(〖10〗^2*2*6^8*5^31 )=2^4*3^3*5*6^4*〖10〗^2=279936000 29. Convert the following to scientific notation: .0000900154 Ans. 9.00154×〖10〗^(-5) 30. Simplify the following: (8zw^2+z^3 w^4-9z^2 w^2 )-(-5z^4 w^3-9z^2 w^2+7zw^2+z^3 w^4-z^4 w^3 ) Ans. =5z^4 w^3+z^4 w^3+z^3 w^4-z^3 w^4-9z^2 w^2+9z^2 w^2+8zw^2-7zw^2 …
21. Carol scored 40 points higher on the math portion of the SAT test than on the language portion. If her total score for both parts was 1260, what was her score on each part? Ans. m= math l=language m=40l …
18. Find the product: ((2x^4 yz^2)/7)((7xy^2 z^4)/6) Ans. ((2x^4 yz^2)/7)((7xy^2 z^4)/6)=(2×7×x^5 y^3 z^6)/(7×6)=(x^5 y^3 z^6)/3 19. Find the additive and multiplicative inverses of: 221/10 Ans. Additive inverse, 221/10-221/10=0 And multiplicative inverse, 221/10×10/221=1 20. The cost to ship a package from …
13. Write the following as a polynomial without parentheses: (-2z – 9)(7z + 6) Ans. (-2z – 9)(7z + 6)=-14z^2-12z-63z-54 =-14z^2-75z-54 14. Factor the following: 36x^5-6x^2+18x^3 Ans. 36x^5+18x^3-6x^2=6x^2 (6x^3+3x-1) 15. Simplify: ((-9x^5)/(7y^2 ))^2 Ans. ((-9x^5)/(7y^2 ))^2=(81x^10)/(14y^4 ) 16. 16 is …
7. Simplify the following, combining like terms: {2[-4(x-y)+5]-(9x-y)}-[-2(y+3x)] Ans. {2[-4(x-y)+5]-(9x-y)}-[-2(y+3x)]={2[-4x+4y+5]-9x+y}-[-2y-6x] ={-8x+8y+10-9x+y}+2y+6x =-17x+9y+10+2y+6x =-11x+11y+10 11x-11y=10 8. Simplify the following, combining like terms: (5w^3-4w)(w^2-2w+9) Ans. (5w^3-4w)(w^2-2w+9)=5w^5-10w^4+45w^3-4w^3+8w^2-36w =5w^5-10w^4+41w^3+8w^2-36w 9. Simplify the following: 19+3^4-6-〖(-3+9)〗^2 Ans. 19+3^4-6-(-3+9)^2=19+81-6-36=58 10. Determine whether the ordered pair (-7,8) is …
Find the LCM of 20 and 44. Ans. The prime factorization of 44 is, 44=2×2×11 The prime factorization of 20 is, 20=2×2×5 The LCM of 20 and 44 is, 2×2×5×11=220 2. Divide and simplify the following: 24/22÷16/55 Ans. 24/22÷16/55=(24⁄22)/(16/55)=24/22×55/16=6/2×5/4=30/8=15/4=3.75 Simplify …