Simplify: (8^2/3)^4 nvm found answer , 2 long to get answered on here

2^24 / 3^4 or simply 207,126.12

Step-by-step explanation:

In this case, first let's put the 8^2 in power of 2. To get 8, we just simply put:

8 = 2 * 2 * 2 = 2^3

now we have: (2^3)^2

In this point we apply power of a power, and multiply the exponents:

3*2 = 6 ---> 2^6

So we now have our expression like this:

(2^6 / 3)^4

Again, we use power of a power:

6*4 = 24

1*4 = 4

So our expression it's this:

2^24 / 3^4

If you solve this, you get:

16,777,216 / 81 = 207,126.12

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: