simplify: [(11 to the second)to the fifth]to the third

Question

asnaseer · Answer

$$((11^2)^5)^3$$to do this make use of the rule:$$(x^a)^b=x^{ab}$$

jim_thompson5910 · Answer

$$\Large ((11^2)^5)^3$$


$$\Large (11^2)^{5*3}$$


$$\Large (11^2)^{15}$$


$$\Large 11^{2*15}$$


$$\Large 11^{30}$$

anonymous · Answer

I understand this, but can I leave it $$11^{30}$$ is this simplified?

asnaseer · Answer

yes

anonymous · Answer

I'd give you another medal, but it won't let me. Thanks.

asnaseer · Answer

:-) no worries - I am glad I could help you - that is reward enough

jim_thompson5910 · Answer

You can evaluate $$\Large 11^{30}$$, but that number is waaaaay too big (the final result has 32 digits). Of course, you can use scientific notation, but leaving it as $$\Large 11^{30}$$ is just fine.

anonymous · Answer

Okay! That's what I was unsure of. I could get to 11^{30}, but then I wasn't sure if I actually needed to calculate the answer. Thank you both!!! I'm a fan of both now.