Question

what are laws of exponents name them and explain them

Answer 1

There are 7 Laws of Exponents. 

Multiplying powers with same base 

1) If the bases are same and there is a multiplication between them then, add the exponents keeping the base common.

am x an = a ( m + n )

Dividing powers with the same base 

2) If the bases are same and there is a division between them then, subtract the 2nd exponent from the 1st keeping the base common.
am÷ an = a ( m - n )

Power of a power 

3) If there are double exponents then, multiply the exponents and keep the base same.

( am) n = a(m x n ) = amn

Zero Exponent 

4) Any number with exponent zero ,the answer is 1.

a 0 = 1

Exponent 1 

5) If the exponent is 1 then the number itself is the answer.

a1 = a

Negative Exponent 

6) If the exponent is negative so to make it positive write the reciprocal of it.

a-m = 1/am1/a-m = am

7) Two different bases have same exponents then bring the two bases under common parenthesis and keep the same exponent.

am x bm = (ab)mam ÷ bm = (a/ b)m

Answer 2

a0 =1

whenever a no has the exponent 0 it is always equal to 1

am×an=am+n

when the bases are same and the multiplication is there then the exponents will get added

am÷an=am-n

when the bases are same and division is there then the powers will get subtracted

am/pm =(a/p)m

when the fraction has the same exponents then it will be considered whole