How do you reduce #(15x^3y^7)/(25x^5y^2)#?

1 Answer
Tazwar Sikder
May 18, 2017

#frac(3 y^(5))(5 x^(2))#

Explanation:

We have: #frac(15 x^(3) y^(7))(25 x^(5) y^(2))#

#= frac(15)(25) cdot frac(x^(3) y^(7))(x^(5) y^(2))#

Using the laws of exponents:

#= frac(3)(5) cdot (x^((3 - 5)) y^((7 - 2)))#

#= frac(3)(5) cdot x^(- 2) y^(5)#

#= frac(3 y^(5))(5 x^(2))#

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