Laws Of Exponent With Examples
Introduction: Consider a number Z n . Z n reads as the n th power of Z. Or Z raised to the power n. Here Z is base whereas n is exponent , power , or order . Or simply exponent is repeated multiplication. Law 1: Multiplication of two terms with identical bases: To multiply two numbers having identical bases, simply add the exponents whereas base remains the same. Z m .Z n = Z m+n Examples: 2 3 .2 6 = 2 9 Law 2: Multiplication of two terms with identical exponents: To multiply two numbers having identical exponents but different bases, multiply the bases whereas exponent remains the same. We can write them as follows. Let's do some examples. Z m .Y m = (Z.Y) m Examples: 2 3 .3 3 = (2*3) 3 Law 3: Division of two terms with identical bases: To divide two numbers having identical bases, subtract the powers whereas the base remains the same. Z m /Z n = Z m-n Examples: 5 5 /5 3 = (5) 5-3 Law 4: Division of two terms with different bases and identical exponent: To divid