Question

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

Answer 1

Answer:   $\frac{x^{20}}{y^{15}}$

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

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Work Shown:

$\left(x^{-4}y^3\right)^{-5}\\\\\left(x^{-4}\right)^{-5}*\left(y^3\right)^{-5}\\\\x^{-4*(-5)}y^{3*(-5)}\\\\x^{20}y^{-15}\\\\\frac{x^{20}}{y^{15}}$

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)