Mary wants to fence in a rectangular run for her dogs. She has decided that the run will be 5 yards wide. A rectangle with a width of 5 yards and height of x.

Which statement best describes the possible lengths of the run if she can use no more than 40 yards of fencing?
at most 8 yards
at most 15 yards
more than 8 yards

at most 8 yards

At most 8 yards

Step-by-step explanation:

The possible lengths of the run if Mary can use no more than 40 yards of fencing would be at most 8 yards.

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:

77

step-by-step explanation: