What are the seven rules of exponents

Answer 1

Here are the seven (or eight) rules of exponents:

1) Product Rule: a^x × a^y = a^x+y (a helpful way to remember is that when you see the 'x' it becomes a '+')

2) Quotient Rule: a^x ÷ a^y = a^x-y (a helpful way to remember is that when you see ÷ it becomes − )

3) Power Rule: (a^x)^y = a^xy

4) Power of a Product Rule: (ab)^x = a^xb^x

5) Power of a Fraction Rule: (a / b)^x = a^x / b^x

6) Zero Exponent: a⁰ = 1

7) Negative Exponent: a^-x = 1 / a^x

8) Fractional Exponent: a x/y = y√ax

Answer 2

I'm fairly certain the properties of exponents you're referring to is as follows:

(where a and b represent nonzero numbers and x and y are any integers)

1. Zero property: a^0 = 1
2. Product property: (a^x)(a^y) = a^(x + y)
3. Quotient property: a^x /a^y = a^(x - y)
4. Negative property: a^(-x) = 1 / a^x
5. Power of a power: (a^x)^y = a^(x * y)
6. Power of a product: (ab)^x = (a^x)(b^x)
7. Power of a quotient: (a/b)^x = a^x / b^x