Answer:
The term simplifies to [tex]8a^6[/tex].
Step-by-step explanation:
When we cube a number, we are multiplying it by itself three times. So, we can think of [tex](2a^2)^3[/tex] as [tex]2a^2*2a^2*2a^2[/tex]. Multiplying [tex]2*2*2[/tex] gets us 8, so the coefficient of our final term will be 8. Now we have the variables. When multiplying variables with exponents, all we have to do is add the exponents of all the terms together. So, we add [tex]2+2+2[/tex] and get 6. Thus, the variable a is raised to the [tex]6^t^h[/tex] power. Adding this to the coefficient yields the answer [tex]8a^6[/tex].
