Valarie made fruit drinks for her friends birthday party. she used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6 cup of soda. she mixes all of the juices together. how many cups of fruit drink did valarie make

1  2/3 cups of fruit drink Valarie make.

Step-by-step explanation:

Given:

Valarie made fruit drinks for her friends birthday party.

She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6 cup of soda.

She mixes all the juices together.

Now, to find cups of fruit drink Valarie make.

As given in question she mixes all juices altogether.

So, to get the cups of fruit drink we add all quantities of juice:

3/6 cup of grape juice + 5/6 cup of strawberry juice + 2/6 cup of soda

Dividing numerator and denominator by 2 we get:

Therefore, 1  2/3 cups of fruit drink Valarie make.

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:

step-by-step explanation:

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