8. Mylie's family car has a 14 gallon gas tank. The car uses about 0.5 gallons of gas each day. A warning light comes on when the fuel left in the tank is 1.5 gallons or less.
a. If Mylie's family starts with a full tank (14 gallons), can they drive the car for 15 days with out the warning light
coming on? Explain how you know

yes

Step-by-step explanation:

Mylie's car has 14 gallons of gas. But if we use 0.5 a day we should figure out how many days she can use it. 14*2=28. 28-15 is 13 which is above 1.5.

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: