how to solve exponents and powers I want all formulas and how to solve I want example sums
Answers
Answer:
The exponent corresponds to the number of times the base will be multiplied by itself. Therefore, if two powers have the same base then we can multiply these two powers. When we multiply two powers, we will add their exponents. If two powers have the same base then we can divide the powers also
Step-by-step explanation:
Formulas and properties of exponents are used in the reduction and simplification of expressions, and in solving equations and inequalities.
1. a0 = 1 (a ≠ 0) - zero exponent property
2. a1 = a - any number raised by the exponent 1 is the number itself
3. an · am = an + m - product of powers property
4. (an)m = anm - power of a power property
5. anbn = (ab)n - power of a product property
6. a-n = 1 an - negative exponent property
7. an am = an - m - quotient of powers property
8. a1/n = n√a - rational exponent property
Step-by-step explanation:
Laws of Integral Exponents
For any two real numbers a and b, a, b ≠ 0, and for any two positive integers, m and n
➲ If a be any non - zero rational number, then
a^0 = 1
➲ If a be any non - zero rational number and m,n be integer, then
(a^m)^n = a^mn
➲ If a be any non - zero rational number and m be any positive integer, then
a^-m = 1/a^m
➲ If a/b is a rational number and m is a positive integer, then
(a/b)^m = a^m/b^m
➲ For any Integers m and n and any rational number a, a ≠ 0
a^m × a^n = a^m+n
➲ For any Integers m and n for non - zero rational number a,
a^m ÷ a^n = a^m-n
➲ If a and b are non - zero rational numbers and m is any integer, then
(a+b)^m = a^m × b^m
I hope it's help you...☺