Consider 2 1/2 divided by 1/4 (c) find the quotient for the real-world problem in part (a). show your work or explain your reasoning.

um, we can't do the x candies divided by y children because 1/4 children would be a problem

we can do this tho

you hae 2 and 1/2 cups of cupcake mix

each cupcake requires 1/4 cup of mix

how many cupcakes can you make?

one way is

cupsyouhave/cupsneededpercupcake=numberofcupcakes

2 and 1/2 divided by 1/4=number of cupcakes

remember that

first convert 2 and 1/2 to fraction

2 and 1/2=2+1/2=4/2+1/2=5/2

so

answer is 10

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:

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation: