Cups are sold in packs and in boxes. there are 6 cups in each pack. there are 8 cups in each box. Alison buys p packs of cups and b boxes of cups. write down an expression, in terms of p and b, for the total number of cups Alison buys

6p + 8b

Step-by-step explanation:

Let us assume that p would be the number of cups in each pack

And b would be the number of cups in boxes

Given that

There are 6 cups in each pack

And, 8 cups in each box

So the totla number of cups in each pack be 6p

And, the total number of cups in each box is 8b

Now the total number of cups did Alision buys is 6p + 8b

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:

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step-by-step explanation: