Homework Help

Simplify: a^7/ a^4

user profile pic

xxmandy92xx | Student, College Freshman | eNotes Newbie

Posted July 31, 2012 at 4:23 PM via web

dislike 1 like

Simplify: a^7/ a^4

Tagged with math

1 Answer | Add Yours

user profile pic

Matthew Fonda | eNotes Employee

Posted July 31, 2012 at 4:41 PM (Answer #1)

dislike 1 like

The key here is to remember the rule for dividing with exponents:

`x^a / x^b = x^(a-b)`

Applying this rule here, we find:

`a^7/a^4 = a^(7-4) = a^3`

Another way of solving this problem is by remembering that a number raised to an exponent is the number multiplied by itself that many times:

`a^7 / a^4 =(a*a*a*a*a*a*a) / (a*a*a*a) = a*a*a = a^3`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes