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

Question

anonymous · Answer

It's supposed to be a equals sign!

anonymous · Answer

Sorry.

anonymous · Answer

first you need to apply this rule of exponents to the left side of that equation: (a^m)^n=a^m*n

anonymous · Answer

if you did that, then you are correct

anonymous · Answer

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

anonymous · Answer

What...? o.o

anonymous · Answer

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]

jim_thompson5910 · Answer

$$\large (2t^3)^4$$



$$\large (2t^3)(2t^3)(2t^3)(2t^3)$$



$$\large (2*2*2*2)(t^3*t^3*t^3*t^3)$$



$$\large 16t^{3+3+3+3}$$



$$\large 16t^{12}$$
So $$\large (2t^3)^4=16t^{12}$$