Applying the product rule of exponents, (a²c)³ = [tex]a^6c^3[/tex].
What is the Product Rule of Exponents?
- When multiplying two numbers with the same base, their powers/exponents would be added.
- For example, [tex]a^{2} \times a^{3} = a^5[/tex].
Given:
(a²c)³
Therefore:
(a²c)³ = (a²c)(a²c)(a²c)
(a²c)³ = [tex]a^{(2+2+2)}c^{(1+1+1)}\\[/tex]
(a²c)³ = [tex]a^6c^3[/tex]
Therefore, applying the product rule of exponents, (a²c)³ = [tex]a^6c^3[/tex].
Learn more about the product rule of exponents on:
https://brainly.com/question/847241
