asked 97.0k views
4 votes
If (5^n)^3= 5^12 then n =?

If (5^n)^3= 5^12 then n =?-example-1

1 Answer

3 votes
easy

remember
if x^a=x^b whre x=x, then assume a=b
also
(x^m)^n=x^(mn)
so

(5^n)^3=5^(3n)

now we gots
5^(3n)=5^12
5=5 so assume 3n=12

3n=12
divide by 3 both sides
n=4

a cheat way would be to just evaluate it since you got the options

answered
User Steviesh
by
8.0k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.