Helen used 14 of her savings for her first year of college. 38 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?

3/32

Step-by-step explanation:

Here's the complete question:

Helen used 1/4 of her savings for her first year of college. 3/8 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?

Since we are told that Helen used 1/4 of her savings for her first year of college and that 3/8 of that money was spent on her housing and meals.

To calculate the fraction of her total savings that was spent on her housing and meals, we would multiply 1/4 by 3/8. This will be:

= 1/4 × 3/8

= 3/32

Step-by-step explanation:

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: