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41 votes
41 votes
Simplifyx^-1 X (y^-8 X z^5)^3------------------------------x^-4 X y^-3 X z^6

User Abhishek Poojary
by
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1 Answer

5 votes
5 votes

Given:


(x^(-1)\left(y^(-8)z^5\right)^3)/(x^(-4)y^(-3)z^6)

Simplify:


(x^(-1)y^(-24)z^(15))/(x^(-4)y^(-3)z^6)

And:


x^(-1-(-4))y^(-24-(-3))z^(15-6)=x^3y^(-21)z^9

Re order:


(x^3z^9)/(y^(21))

Answer:


(x^(3)z^(9))/(y^(21))

User Tom Hale
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3.2k points