Nicole left her house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then she stopped and went into the store for 6 minutes. From there, she drove in the same direction at a speed of 5 blocks per minute until she got to the bank, which is 10 blocks away from the store. She stopped at the bank for 7 minutes. Then she drove home at a speed of 3 blocks every minute. Make a graph of showing the number of blocks away from home that Nicole is xx minutes after she leaves her house, until she gets back home.

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

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