Find the value of m in each equation below. justify your answer.
(x^m × x^2)^3 (k^3)^5 = x^21k^15

The main properties we use in this problem are:

i)  (so, when we multiply 2 exponents of the same base, we add the exponents)

ii) 

thus, 



by first applying property i) then property ii)

also, , by property ii)

So we have:

, 

now we only have to compare the exponents. 

6m must be equal to 21, 

thus m=21/6=7/2

m=7/2

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.