Simplify: a^7/ a^4

1 Answer | Add Yours

mfonda's profile pic

Matthew Fonda | eNotes Employee

Posted on

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`

We’ve answered 317,919 questions. We can answer yours, too.

Ask a question