Download Six rules of the Law of Indices in PDF
Engineering Mathematics Six Law of Indices pdf
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Six rules of the Law of Indices:
To manipulate math expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3^{4} and 3^{2} can be manipulated using the Law of Indices, but we cannot use the Law of Indices to manipulate the expressions 4^{5} and 9^{7} as their base differs (their bases are 4 and 9, respectively).
Rule 1: |
Rule 2: |
Rule 3: |
Rule 4: |
Rule 5: |
Rule 6: |
Example for 6 rules of the Law of Indices
Example for Rule 1:
Simplify 2^{0}
Example for Rule 2:
Simplify 2^{-2}
Example for Rule 3:
Simplify
Example for Rule 4:
Simplify
Example for Rule 5:
Simplify (y^{2})^{6}
Example for Rule 6:
Simplify 125^{2/3}