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Algebra 10 Online
OpenStudy (anonymous):

Consider the equation: 625(5xy)^-3/(5x)^2 y^7 The equivalent simplified form of this expression is A. 1/[5x(y^5)] B. 1/[25(X^5)(y^10] C. 1/[5(x^5)(y^10)] D. 5(x^-1)(y^-4)

OpenStudy (anonymous):

(5xy)^-3 is the same as 1/(5xy)^3

OpenStudy (anonymous):

so move that value to the denominator

OpenStudy (anonymous):

now we are left with 625/((5xy)^3(5x)^2y^7)

OpenStudy (anonymous):

can you simplify that?

OpenStudy (anonymous):

not sure i'll try

OpenStudy (anonymous):

625/(3125x^5y^10)

OpenStudy (anonymous):

one last simplification gives 1/[5(x^5)(y^10)]

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