What are the laws of exponents and power?
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Answer:
There are in general six laws of exponents in Mathematics. Exponents are used to show, repeated multiplication of a number by itself. For example, 7 × 7 × 7 can be represented as 73. Here, the exponent is ‘3’ which stands for the number of times the number 7 is multiplied. 7 is the base here which is the actual number that is getting multiplied. So basically exponents or powers denotes the number of times a number can be multiplied. If the power is 2, that means the base number is multiplied two times with itself. Some of the examples are:
34 = 3×3×3×3
105 = 10×10×10×10×10
163 = 16 × 16 × 16
Suppose, a number ‘a’ is multiplied by itself n-times, then it is represented as an where a is the base and n is the exponent.
laws of exponents
Exponents follow certain rules that help in simplifying expressions which are also called its laws. Let us discuss the laws of exponents in detail.
Rules of Exponents With Examples
As discussed earlier, there are majorly six laws or rules defined for exponents. In the table below, all the laws are represented.
am.an=am+n
(am)n = amn
(ab)n = an bn
(a/b)n = an/bn
am/an = am-n
am/an = 1/an-m
Now let us discuss all the laws one by one with examples here.