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what is 3x exponent 5 divided by 4x exponent 7

 Oct 1, 2014

Best Answer 

 #1
avatar+23245 
+8

Since  x / x = 1, if you have a string of multiplications in the numerator and a string of multiplications in the denominator, you can cancel one factor in the numerator with an equal factor in the denominator.

(3x^5) / (5x^7)     =     (3·x·x·x·x·x) / (5·x·x·x·x·x·x·x)

The five x-factors in the numerator will cancel five x-factors in the denominator; so the answer reduces to:

     =  (3) / (5·x·x)     =     3 / (5x²)

(This can be done, in division, more simply by subtacting the exponents (7 minus 5) and since the greater number of x's is in the denominator, the value of x² is in the denominator. 

 Oct 2, 2014
 #1
avatar+23245 
+8
Best Answer

Since  x / x = 1, if you have a string of multiplications in the numerator and a string of multiplications in the denominator, you can cancel one factor in the numerator with an equal factor in the denominator.

(3x^5) / (5x^7)     =     (3·x·x·x·x·x) / (5·x·x·x·x·x·x·x)

The five x-factors in the numerator will cancel five x-factors in the denominator; so the answer reduces to:

     =  (3) / (5·x·x)     =     3 / (5x²)

(This can be done, in division, more simply by subtacting the exponents (7 minus 5) and since the greater number of x's is in the denominator, the value of x² is in the denominator. 

geno3141 Oct 2, 2014

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