Exponents and powers
exponents and powers are ways used to represent very large number or very small number in simplified manner
for example : 3x3x3x3 = 34
34 is said to be 3is raised to power 4
Definition of exponent: An exponent of a number represent the number of times the number is multiplied to itself.
Assume 8x8x8x....ntimes = 8n
8 is raised to power n
General form of exponents
axaxax...xa= an
a is any number n is exponent or power or index.
Laws of Exponents
Multiplication law
the product of two exponents with the same base and different powers equal to base raised to the sum of two powers
am * an = a(m+n)
Division law
went to expense having same basis and different towards are divided than result in base raised to difference between the two powers
am / an = a(m-n)
- Negative exponent law
Anyways if has negative power then it results in reciprocalbert with positive powers or integers to the base
Ex: 8-2
Then it can be written as 1/ 8x8