Profile
Settings
Refer your friends
Sign out
Law of Indices
Index laws provide us with principles for simplifying computations or expressions that include powers of the same base. This indicates that the more significant number or letter must be the same as the smaller number or letter. Whenever the bases are dissimilar, one cannot utilize indices laws to assess computations. There are various indices laws (also known as indices rules), including multiplication, dividing, power of 0, bracket, fractional powers and negative. The First Law of Indices: Multiplication Let’s just take an example below:
The first rule says that if the exponents have the same bases and different powers and they are in multiplication the indices of the exponents get added.
So, the above example can be written as:
Rules to Multiply Exponents with different bases
When the bases of two numbers or variables differ, we can multiply the expressions by applying some simple exponent principles. We have two options here:
When the bases differ, the abilities remain the same.
Consider two expressions, an and bn, with a different base but the same power. The bases, in this case, are a and b, and the power is n. When multiplying exponents of distinct bases and powers, the bases are multiplied first. It may be expressed numerically as
Conclusion
This was all about the introduction of exponents and the law of indices. In this article, only the first law of indices is described, there are two more laws of indices that are also important to study. The second law of indices is the division law of indices and the third law is the law of brackets. I hope this article helps the person reading this to prepare well for the exams and score good marks.
