Question

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

Answer 1

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

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

===================================================

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)