How do you simplify $( 15x^-2 y^9)^ -2/( 18x^2 y^3)$ ?

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Answer 1 · 2018-03-03T13:54:21

$x^2/(4050y^21)$

Start with:
$( 15x^-2 y^9)^ -2/( 18x^2 y^3)$

Distribute the power in the numerator:
$((15)^-2(x^-2)^-2(y^9)^-2)/(18x^2y^3)$

Simplify the numerator:
$((15)^-2x^4y^-18)/(18x^2y^3)$

Move terms to make all powers positive:
$(x^4)/((15)^2(18)x^2y^18y^3)$

Simplify the denominator:
$(x^4)/(4050x^2y^21)$

Divide the x terms:
$x^2/(4050y^21)$

How do you simplify ( 15x^-2 y^9)^ -2/( 18x^2 y^3)( 15x^-2 y^9)^ -2/( 18x^2 y^3)?