Question

Simplify the expression 17c4. Show work please.

Answer 1

17c4=17 /[4[17-4
17c4=[17]/[4'13]
17c4=[17 '16'15'14] [4'3'2'1]
17c4=2380

Answer 2

The given expression is 17
`c^4`

The meaning of term simplification is to break something into smaller parts.

If i am simplifying an integer it means i will break that integer into prime factors.

If i am simplifying an expression that is term containing a variable and constant we have to simplify Constant into prime factors and variable into lowest terms having degree 1.

17
`c^4`

Constant = 17 , which is a prime number.It can't be broken into prime factors.

`c^4= c* c* c* c\\\\17 c^4= 17 * c * c * c* c`

2. If it is→→→
`_(4)^(17)\textrm{C}=(17!)/((4!)(17-4)!))=(17*16*15*14* 13!)/(4*3*2*1*13!)`

`=17 * 2*5* 14=238 * 10=2380`