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Simplify the given expression. Write your answer with positive exponents. (x−4y3)−5

1 Answer

8 votes

Answer:
(x^(20))/(y^(15))

This is the same as writing (x^20)/(y^15)

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Work Shown:


\left(x^(-4)y^3\right)^(-5)\\\\\left(x^(-4)\right)^(-5)*\left(y^3\right)^(-5)\\\\x^(-4*(-5))y^(3*(-5))\\\\x^(20)y^(-15)\\\\(x^(20))/(y^(15))

In the second step, I used the rule that (a*b)^c = (a^c)*(b^c)

In step 3, I used the rule (a^b)^c = a^(b*c)

In the last step, I used the rule a^(-b) = 1/(a^b)

User Alderath
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