Just need confirmation again (2t^3)^4 + 2t^12?

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Just need confirmation again (2t^3)^4 + 2t^12?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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It's supposed to be a equals sign!
Sorry.
first you need to apply this rule of exponents to the left side of that equation: (a^m)^n=a^m*n

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if you did that, then you are correct
If the whole thing is raised to the power of 4 as suggested by the () then that would include the 2 in the base as well.. so 2^4 is also necessary
What...? o.o
If the problem has parenthesis then it means each thing in the parenthesis is to use the exponent. You can think of them separately... (2t^3)^4 = [2^4][(t^3)^4]
\[\large (2t^3)^4\] \[\large (2t^3)(2t^3)(2t^3)(2t^3)\] \[\large (2*2*2*2)(t^3*t^3*t^3*t^3)\] \[\large 16t^{3+3+3+3}\] \[\large 16t^{12}\] So \[\large (2t^3)^4=16t^{12}\]

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