**RS Aggarwal Class 8 Maths Chapter 2 Ex 2.2 Solutions**: In this exercise, the students will learn the problems of all the six laws of integral exponents & the use of the decimal number system in the laws. The students must practice these solutions as they assist them to acquire good marks in the Class 8^{th} Maths final exams. These solutions are accurate & formulated as per the CBSE guidelines. The students will get access to useful & helpful information in an easy language.

RS Aggarwal Class 8 Maths Chapter 2 Ex 2.2 Solutions are self-sufficient for the students in order to obtain excellent marks in the final exams. By solving the textbook questions with the help of these solutions, the students’ problem-solving abilities are also improved. These solutions enable the students to evaluate the areas of weaknesses so that they can improve to acquire good marks in the final exam. The students will be able to recall all formulas easily by practicing these solutions regularly.

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**Download ****RS Aggarwal Class 8 Maths Chapter 2 Ex 2.2 Solutions**

RS Aggarwal Class 8 Maths Chapter 2 Ex 2.2 Solutions

**Important Definition for ****RS Aggarwal Class 8 Maths Chapter 2 Ex 2.2 Solutions**

**Here are the six laws defined for exponents:**

1. Product With the Same Bases: According to this law, for any non-zero term a,

a^{m }× a^{n} = a^{m+n }where m & n are real numbers.

For instance: What is the simplification of 5^{5} × 5^{1} ?

= 5^{5} × 5^{1} = 5^{5+1} = 5^{6}

2. Quotient with Same Bases: According to this law, a^{m}/a^{n} = a^{m-n }where a is a non-zero term and m & n are integers.

For instance: Find the value when 10^{-5} is divided by 10^{-3}.

= 10^{-5}/10^{-3} = 10^{-5-(-)3 } = 10^{-5+3 } = 10^{-2 } = 1/100

3. Power Raised to a Power: As per this law, if a is the base, the power raised to the power of base a gives the number of the powers raised to the base a, like

(a^{m})^{n} = a^{mn }where a is a non-zero term and m & n are integers.

For instance: Express 8^{3} as a power with base 2.

= 2×2×2 = 8 = 2^{3 }

Thus, 8^{3}= (2^{3})^{3} = 2^{9}

4. Product to a Power: According to this law, for two or more different bases, if the power is the same, then a^{n} b^{n} = (ab)^{n }where a is a non-zero term & n is the integer.

For instance: Simplify and write the exponential form of: 1/8 x 5^{-3 }= 1/8 = 2^{-3}

Thus, 2^{-3} x 5^{-3} = (2 × 5)^{-3} = 10^{-3}

5. Quotient to a Power: According to this law, the fraction of two different bases with the same power is represented as a^{n}/b^{n} = (a/b)^{n }where a and b are non-zero terms & n is an integer.

For instance: Simplify the expression and find the value 15^{3}/5^{3} = (15/5)^{3}= 3^{3} = 27

6. Zero Power: As per this law, if the power of any integer is zero, its value is equal to 1, like a^{0} = 1 where a is any non-zero term.

For instance: What is the value of 5^{0} + 2^{2} + 4^{0} + 7^{1} – 3^{1} ?

= 5^{0} + 2^{2} + 4^{0} + 7^{1} – 3^{1} = 1 + 4 + 1 + 7 – 3 = 10

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