Decorations for the seventh-grade dance take 1/6 of the student council's budget. entertainment takes 3/8 of the budget. what fraction of the budget do these expenses cover? what fraction is left for other activities? (hint: to answer the second question, subtract the answer to the first from 1, which represents the whole budget.)

13/24 of the budget for decorations and entertainment.

11/24 left for other activities

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

To find what fraction of the budget these expenses cover we have to sum them:

1/6 + 3/8 = 4/24 + 9/24 = 13/24 of the budget

Fraction left: we have to subtract the previous result to 1, which represents the whole budget:

1-13/24 = 24/24-13/24= 11/24 left for other activities.

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: