Jason's mom drove at 100 km/h for a
160 km trip. how much longer would
the trip have taken if she had driven
at 90 km/h?

or

Step-by-step explanation:

 For this exercise you must use the following formula:

Where "V" is the speed, "d" is the distance and "t" is the time.

Solving for "t":

You know that Jason's mom drove a distance of at . Then, we can say that:

Then, the time is:

If she had driven :

 And the time would have been:

or

Subtracting those times, you get:

or

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:

correct answers below: