Exponents

Exponent Laws

Law 1
If you multiply, and the bases are the same you add the exponents.

a ⁿ × a ^m = a ^n+m

Law 2
If you divide, and the bases are the same you subtract the exponents.

a ⁿ ÷ a ^m = a ^n-m

Law 3
If you have an exponent inside a bracket and an exponent outside the bracket, you multiply the exponents.

(a ⁿ )^m = a ^nm

Law 4
Anything except zero to the power of zero is one.

a ⁰ = 1

Law 5
If you have a negative exponent and you want to make it positive, you change the value inside the bracket around. Only the sign of the exponent changes.

(a)^{-m = (1/a)m}

Law 6
If you have a fraction as an exponent you change it to root form. The denominator will then be the root.
$a^{\frac{m}{n}}=\sqrt[n]{a^m}$


Exponential equations