laws of exponents explain
Answers
Answer:
Laws of Exponent: When multiplying like bases,keep the base the same and add the exponents.When rising a base with a power to another power,keep the base same and multiply the exponents.When dividing like bases,keep the base the same and subtract the denominator exponent from the numerator exponent.
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Answer:
The Laws of Exponents are
1)Multiplying powers with same base-
If the bases are same and there is a multiplication between them then, add the exponents keeping the base common.
a^m x a^n = a ( m + n )
2)Dividing powers with the same base
If the bases are same and there is a division between them then, subtract the 2nd exponent from the 1st keeping the base common.
a^m÷ an = a ^( m - n )
3)power of a power
If there are double exponents then, multiply the exponents and keep the base same.
( a^m) ^n = a^(m x n ) = a^mn
4)zero exponent
Any number with exponent zero ,the answer is 1.
a^0 = 1
5)Negative exponent
If the exponent is negative so to make it positive write the reciprocal of it.
a^-m = 1/a^m
1/a^-m = a^m
6)Exponent 1
If the exponent is 1 then the number itself is the answer.
a^1 = a
7) Two different bases have same exponents then bring the two bases under common parenthesis and keep the same exponent.
a^m x b^m = (ab)^m a^m ÷ b^m = (a/ b)^m