55.5k views
5 votes
Simplifying inside parentheses first pt. 2

Simplifying inside parentheses first pt. 2-example-1

1 Answer

6 votes

Answer:

The answer to your question is the second option

Explanation:

Process

Simplify using exponents laws, first inside the parentheses and then outside the parentheses.


[(a^(-2)b^(2))/(a^(2)b^(-1)) ]^(-3)

a) Simplify a

a⁻² a⁻² = a⁻⁴

b) Simplify b

b² b¹ = b³

c) Write the result


[(b^(3))/(a^(4))]^(-3)

d)
[(a^(4))/(b^(3))]^(3)

e) Simplify


((a^(4))^(3))/((b^(3))3)

f) Result


(a^(12))/(b^(9))

User Mark Mercurio
by
4.5k points