Two towns that are 31.5 km apart are 3 cm apart on a map. what is the scale of the map?
1 cm = 9.5 km
2 cm = 21 km
2 cm = 18 km
1 cm = 29.5 km

2 cm = 21 km

Step-by-step explanation:

2 cm = 21 km

This is why

3cm = 31.5 km

3/3 = 31.5/3 (To find out how much 1 cm is equal to)

1 cm = 10.5 km

And since 1 cm = 10.5 km is not there in the options... I tried to find out for 2 cm

So, I multiplied both sides by 2

1 cm = 10.5 km

1 *2 = 10.5 *2

So the answer become 2 cm = 21 km

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: