SOLUTION: are these simplified there furthest: 1.) 5x^3/125x^3 2.) 343t^9/21t???? ^ means 2 the power 2. could any of theses 2 be simplied any further?????

Question 63538This question is from textbook
: are these simplified there furthest: 1.) 5x^3/125x^3
2.) 343t^9/21t???? ^ means 2 the power 2. could any of theses 2 be simplied any further????? This question is from textbook

Answer by jai_kos(139) (Show Source): You can put this solution on YOUR website!
1.) 5x^3/125x^3
2.) 343t^9/21t^2
Consider the first one.
1.) 5x^3/125x^3 = 5 * x * x * x / 5 * 5 * 5 *x* x* *x
I have expanded both the numerator and the denominator, we get
we are left with after cancecellation,
1 / 5 * 5 = 1 / 25
Hence 5x^3/125x^3 = 1 / 25

2) 343t^9/21t^2 = 7 * 7 *7 * t* t* t*t*t*t*t*t*t / 7 * 3 t * t
= 7 * 7 * t* t* t*t*t*t*t / 3
= 49 t^7 / 3

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