If you had 1 billion dollars all in $100 dollar bills, how many times could they
stretch along the length of North Carolina? (HINT – you may need to look up the
length of NC and measure the length of a $100 bill. Just in case you don’t have
one, a $100 bill is the same length as a $1 bill).

1.94 times.

Step-by-step explanation:

Lenght of $100 dollars = 6.14 inches

Lenght of North Carolina = 500 miles long.

Now, in 1 billon = 1,000,000,000

If we divide it by the value of each bill, we will found the number of bills, we have:

N =  1,000,000,000/100 = 10,000,000 bills.

Knowing that each bill is 6.14 inches long, the length of the N bills together is:

6.14in*10,000,000 = 61,400,000 in

Now we need to write this in miles; 63,360 inches is one mile.

Then  61,400,000 in =  (61,400,000/63,360) = 969.1 miles.

Now we can find that:

969.1mi/500 mi = 1.94

This means that with 1 billion dollars all in $100 dollar bills we can stretch them 1.94 times along the length of North Carolina.

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:

ans789

step-by-step explanation: