Laws Of Indices

Laws Of Indices

1. Law 1

   • (a^m)(a^n) = a^(m+n)
   • To multiply expressions with the same base, copy the base and add the indices.

2. Law 2

   • (a^m)/(a^n) = a^(m-n)
   • To divide expressions with the same base, copy the base and subtract the indices.

3. Law 3

   • (a^m)^n = a^(mn)
   • To raise an expression to the nth index, copy the base and multiply the indices.

4. Law 4

   • a^0 = 1
   • Any expression to the power of 0 is equal to 1

5. Law 5

   • (a/b)^n = (a^n)/(b^n)
   • The exponent of a quotient is equal to the quotient of the exponents

6. Law 6

   • (ab)^n = (a^n)(b^n)
   • The exponent of a product is equal to the product of the exponents