Joe goes to a mexican restaurant and order nachos. he can have just cheese or add any of the following: chicken, onion, sour cream or olives. how many different variations of nachos are possible?

5

Step-by-step explanation:

It is given that Joe goes to a mexican restaurant and order nachos. He can have just cheese or add any of the following: chicken, onion, sour cream or olives.

The different possible variations of nachos are:

1. Cheese

2. Cheese and Chicken

3. Cheese and Onion

4. Cheese and Sour cream

5. Cheese and olives

Therefore, total 5 different variations of nachos are possible.

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: