
Urgent Question
This may be a dumb question, but I'm really totally blanking on this D: So please no laughing :/
Anyway
In the following example:
$\displaystyle
5 x 3 (2^3 + 1^3)^3 + 9
$
My question is simply about the "3" that is the exponent of the whole parenthesis group. I know that the exponents within the parenthesis are to be multiplied and not added as typical for exponents. So you multiply the exponents by 3 BUT do you multiply the base numbers by 3 or do you square it to that 3rd exponent???
I'm so confused about that because I could of swore a teacher once told me to multiply the base number and not square it but I need to be 100% certain. Thanks and any help would be MUCH appreciated! Thanks!

the order of operations takes precedence here ...
$\displaystyle (2^3 + 1^3)^3 = (8+1)^3 = 9^3$

Ah, I see. Hmm Interesting thanks man.
Also. Question here
$\displaystyle
3^3
$
In that case WITHOUT the parenthesis around "3" then does that mean the answer would be 27 or +27?
I am pretty sure it would be positive because a square without parenthesis is negative then that times a negative is positive.
Hmm is that correct?

In the case of the exponent 3 it keeps the sign, let's just use 3 as an example:
$\displaystyle 3^3 = 3*3*3 = 27$
$\displaystyle (3)^3 = 3*3*3 = 27$
All odd exponents keep the sign.

Ah...
Great tool. All Odd exponents keep the sign. Very interesting.
Thanks mate. Preciate it.