How do you use laws of exponents to simplify $(\frac{10 x^{4} y^{2}}{{(- 5 x^{3} y^{2})}^{2}})$ $(( 10x^4y^2)/(-5x^3y^2)^2)$ ?

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Answer 1 · 2015-08-04T20:29:06

Let's first work the brackets below the division bar:

$=(10x^4y^2)/(25x^6y^4)=(2*cancel5*cancelx^4*cancely^2)/(5*cancel5*cancelx^4*x^2*cancely^2*y^2)$

$=2/(5x^2y^2)or2/(5(xy)^2)$

Or you could have done:

$=10/((-5)^2) * x^(4-3*2)*y^(2-2*2)=2/5*x^-2*y^-2$

How do you use laws of exponents to simplify (( 10x^4y^2)/(-5x^3y^2)^2)(10x4y2(−5x3y2)2)(( 10x^4y^2)/(-5x^3y^2)^2)?