SOLUTION: Can you verify if I have arrived at correct answers to the below problems? Problem 1 21a^2b over 7a^2b + (a^2 over b^2)0 power - I come up with final answer of 3 + a^2/b^2

Algebra ->  Equations -> SOLUTION: Can you verify if I have arrived at correct answers to the below problems? Problem 1 21a^2b over 7a^2b + (a^2 over b^2)0 power - I come up with final answer of 3 + a^2/b^2       Log On


   

Question 1179354: Can you verify if I have arrived at correct answers to the below problems?
Problem 1
21a^2b over 7a^2b + (a^2 over b^2)0 power - I come up with final answer of 3 + a^2/b^2
Problem 2: 6x-4 / 9x^2-12x +4 - I come up with final answer of 2/3x-2

Problem 3:
Radicand 25x^2y^6 over 121x^4 - I come up with final answer of 5y^6 over 121x^3
Problem 4:
3 Radicand 99 -2 Radicand 44 = - I come up with final answer of 5 Radicand 11
Thank you



Found 2 solutions by MathLover1, mananth:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
%2821a%5E2b%29%2F%287a%5E2b%29+%2B+%28a%5E2%2Fb%5E2%29%5E0 ...anything to the zero power is equal to 1, so %28a%5E2%2Fb%5E2%29%5E0=1
=
=3+%2B+1++
=4


2.
%286x-4%29+%2F+%289x%5E2-12x+%2B4%29........factor
=2%283x-2%29+%2F+%28%283x%29%5E2-12x+%2B2%5E2%29
=2%283x-2%29%2F%283x+-+2%29%5E2
=2cross%28%283x-2%29%29+%2F%283x+-+2%29%5Ecross%282%29
=2+%2F%283x+-+2%29


3.
%2825x%5E2%2Ay%5E6%29+%2F%28121x%5E4%29
=%2825cross%28x%5E2%29%2Ay%5E6%29+%2F%28121x%5Ecross%284%29%5E2%29
=%2825y%5E6%29+%2F%28121x%5E2%29


4.
3sqrt%2899%29+-2sqrt%28+44%29
=3sqrt%289%2A11%29+-2sqrt%28+4%2A11%29
=3%2A3sqrt%2811%29+-2%2A2sqrt%28+11%29
=9sqrt%2811%29+-5sqrt%28+11%29
=5sqrt%2811%29


Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Problem 1
%2821a%5E2b%2F7a%5E2b%29+%2B+%28a%5E2%2F+b%5E2%29%5E0
(3+1)=4

Problem 2:
%28+6x-4+%29%2F+%289x%5E2-12x+%2B4+%29
%282%283x-2%29%29%2F%283x-2%29%5E2


- I come up with final answer of 2/3x-2 Correct
Problem 3:
Radicand 25x^2y^6 over 121x^4
Only numerator radicand or the fraction?
- I come up with final answer of 5y^6 over 121x^3
Problem 4:
3 Radicand 99 -2 Radicand 44
3%2Asqrt%2899%29-2%2Asqrt%2844%29
= - I come up with final answer of 5 Radicand 11correct