Some other Rules:
Rule 3: While dividing two exponential numbers, subtract the powers.
am/an = am-n
a5/a2 = a×a×a×a×a/a×a =
Rule 4: Any exponential number is equal to one while divided by itself.
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.
(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
To demonstrate this, consider
(3/2)2 = 1.52 =2.25 = 2(1/4) = 9/4
But 32/22 = 9/4 the same value