Difference between revisions of "Laws of Exponents for Real Numbers"
Jump to navigation
Jump to search
Ramamurthy S (talk | contribs) (New Page Created) |
Ramamurthy S (talk | contribs) |
||
Line 1: | Line 1: | ||
The laws of exponents simplify the multiplication and division operations and help to solve the problems easily. In this article, we will be knowing the six important laws of exponents. | The laws of exponents simplify the multiplication and division operations and help to solve the problems easily. In this article, we will be knowing the six important laws of exponents. | ||
== Laws of Exponents == | |||
Let a > 0 be a real number and p and q be rational numbers. Then, we have (i) a p . a q = a p+q (ii) (a p ) q = a pq (iii) p p q q a a a − = (iv) a pb p = (ab) p | |||
Let <math>a >0</math> be a real number and <math>p</math> & <math>q</math> be rational numbers. Then we have | |||
* <math>a^p \times a^q=a^{p+q}</math> | |||
* <math>(a^p)^q=a^{pq}</math> | |||
* <math>\frac{a^p}{a^q}=a^{p-q}</math> |
Revision as of 09:51, 29 April 2024
The laws of exponents simplify the multiplication and division operations and help to solve the problems easily. In this article, we will be knowing the six important laws of exponents.
Laws of Exponents
Let a > 0 be a real number and p and q be rational numbers. Then, we have (i) a p . a q = a p+q (ii) (a p ) q = a pq (iii) p p q q a a a − = (iv) a pb p = (ab) p
Let be a real number and & be rational numbers. Then we have