Mathis - Indices Help

Any ideas? Theyre just about applying the exponent rules
https://www.mathsisfun.com/algebra/exponent-laws.html

So would...

1 = 15
2 = 6^4
??

So would...

1 = 15
2 = 6^4
??

The word 'evaluate' means 'find the value of' so the answer will be a number.

Any working?
1) yes
2) how do you apply the laws?

Okay so, 6^4 = 1296

Okay so, 6^4 = 1296

(2^2)^2 x (3^3)^2
------------------------------
(2 x 3)^4

so can you explain the steps you took?

It's not correct. Can you explain your working?

Well first i would simplify

(2^2)3^3 to 2^2 x 3 to 2^6

(3^3)^2 to 3^3 x 2 to 3^6

and then

(2 x 3)^4 to 2^4 x 3^4

so then i'll have

2^6 x 3^6
-------------
2^4 x 3^4

and that would be

6^12
-----
6^8

so then it would be 6^4 then i just put it into th calculator and got 1296??

Well first i would simplify

(2^2)3^3 to 2^2 x 3 to 2^6

No - you are misinterpreting the rules of indices here.

(2^2)^2 x (3^3)^2
------------------------------
(2 x 3)^4


There are a number of ways of tackling this - maybe think about multiply the numbers in brackets first?

(4)^ 2 x (9 ^ 2)
-------------------
(6)^4

Now to stop getting large numbers write out the factors

4 x 4 x 9 x 9
----------------
6 x 6 x 6 x 6

Does that help?

The numerator is

2^(2*2) * 3^(2*3)

Are you happy with that? Bidmas/bodmas is exponents before multiplication.

Yes i understand it now,
Thank you, very helpful

So how would the answer look in full?

I thought you were ok with it, is there any confusion?