Some other Rules:

Rule 3: While dividing two exponential numbers, subtract the powers.

a^m/aⁿ = a^m-n

Example:

a⁵/a² = a×a×a×a×a/a×a  = 

Rule 4: Any exponential number is equal to one while divided by itself.

aⁿ/aⁿ  =1

Rule 5: To raise a product to a power so raises each factor to that power.

(ab)ⁿ  = aⁿbⁿ

That arises from the associative law for multiplication, that is, order of multiplication does not alter the product.

Example:

(ab)²  = (a x b) x (a x b) = (a x a) (b x b) = a²  x b²

If doubt exists in the student's mind, try multiplying (2 x 3)² out in different orders.  All orders will yield 36.

Rule 6: For raise a quotient to a power, raise both the numerator and denominator to that power.

(a/b)ⁿ = aⁿ/bⁿ

Example:

To demonstrate this, consider

(3/2)² = 1.5² =2.25 = 2(1/4) = 9/4

But 3²/2² = 9/4 the same value