What is the exponent of the greatest power of 40 that will divide into 80! with no remainder ?

19

Step-by-step explanation: For each power of 40, you need 3 prime factors of 2 and 1 prime factor of 5.

In 80, the number of factors of 5 is 16+3 = 19.

In 80, the number of factors of 2 is 40+20+10+5+2+1 = 78.

The number of prime factors of 2 in 80! is more than 3 times the number of prime factors of 5; that means the number of prime factors of 5 is what limits the power of 40 that divided into 80! gives a whole number answer. So

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.