The term exponents refer to the expanded form of a number, such as 2 x 2 x 2 x 2. At the same time, power refers to a short version of that expanded form, such as 2^4. This whole expression,i.e., 2^4, is called the power.
Rules of Exponents
The rule of exponents differs from each other. These set of rules are discussed here below:
a^0 = 1 :
This rule shows that if the power of the integer is 0, then the result will always come to 1.
(a^m)^n = a^mn :
This set of rules says that if n is the power of a^m and then m is the power of a, the result will be that the product of mn is the power of a.
(a^m) x (b^m) = (ab)^m :
A rule says that if m is the power of both a & b in multiplication, then it is equal to the product of the combination of ab and whose combined power is m.
a^m / b^m = (a/b)^m :
The rule says that if m is the power of both a & b differently, it will result in the combined power of both a & b,i.e.,(a/b)^m.
Learning Videos for 7th Grade Math - Exponents and Powers