on the same lines you can verify the following law's of exponents, exponents, where a and b are non zero integers and m
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t is meant by an exponent? You must have come across the expression 3². Here 3 is the base and 2 is the exponent. Exponents are also called Powers or Indices. The exponent of a number tells how many times to use the number in a multiplication. Let us study the laws of exponent. It is very important to understand how the laws of exponents laws are formulated.

(Source: math warehouse)
1. Product law
According to the product law of exponents when multiplying two numbers that have the same base then we can add the exponents
am × an= a m+n
where a, m and n all are natural numbers. Here the base should be the same in both the quantities. For example,
2³ × 24 = 2722/3 × 21/5 = 2 2/3 + 1/5 = 2(10+3)/15 . We get, = 212/15(-6) 3 x (-6) 2 = (-6) 3+2 = (-6) 5
2. Quotient Law
According to the quotient law of exponents, we can divide two numbers with the same base by subtracting the exponents. In order to divide two exponents that have the same base, subtract the power in the denominator from the power in the numerator.
am ÷ an = a m-n
where a, m and n all are natural numbers. Here the base should be the same in both the quantities. For example,
25 ÷ 23 = 2²p6 ÷ p2 = p 6 – 2 = p 4
3. Power Law
According to the power law of exponents if a number raise a power to a power, just multiply the exponents
(am)n = am×n
Here there is one base a and two powers m and n. For example, ( 53 )2 = 53×2 = 56

(Source: math warehouse)
1. Product law
According to the product law of exponents when multiplying two numbers that have the same base then we can add the exponents
am × an= a m+n
where a, m and n all are natural numbers. Here the base should be the same in both the quantities. For example,
2³ × 24 = 2722/3 × 21/5 = 2 2/3 + 1/5 = 2(10+3)/15 . We get, = 212/15(-6) 3 x (-6) 2 = (-6) 3+2 = (-6) 5
2. Quotient Law
According to the quotient law of exponents, we can divide two numbers with the same base by subtracting the exponents. In order to divide two exponents that have the same base, subtract the power in the denominator from the power in the numerator.
am ÷ an = a m-n
where a, m and n all are natural numbers. Here the base should be the same in both the quantities. For example,
25 ÷ 23 = 2²p6 ÷ p2 = p 6 – 2 = p 4
3. Power Law
According to the power law of exponents if a number raise a power to a power, just multiply the exponents
(am)n = am×n
Here there is one base a and two powers m and n. For example, ( 53 )2 = 53×2 = 56
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