How do you simplify $(525x^5y^4w )/(630 x^4y^5z)$ ?

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Answer 1 · 2018-04-24T04:42:13

$(5xw)/(6yz)$

Given: $(525 x^5 y^4 w)/(630 x^4 y^5 z)$

One way to simplify is to use the exponent rules:

$x^m/x^n = x^(m-n) " and " x^-1 = 1/x$

$(525 x^5 y^4 w)/(630 x^4 y^5 z) = (5x^(5-4)y^(4-5)w)/(6z) = (5xy^-1w)/(6z) = (5xw)/(6yz)$

A second way is to find the greatest common factor (GCF) in both the numerator and the denominator and cancel:

$525 x^5 y^4 w = 3*5*5*7*x*x*x*x*x*y*y*y*y*w$

$630 x^4 y^5 z = 2*3*3*5*7*x*x*x*x*y*y*y*y*y*w$

GCF = $3*5*7*x*x*x*x*y*y*y*y = 105x^4y^4$

Factor using the GCF and cancel:

$(525 x^5 y^4 w)/(630 x^4 y^5 z) = (cancel(105x^4y^4)(5xw))/(cancel(105x^4y^4)(6yz)) = (5xw)/(6yz)$

How do you simplify (525x^5y^4w )/(630 x^4y^5z)(525x^5y^4w )/(630 x^4y^5z)?