Exercise 10.1 class 8 solution

NCERT exercise 10.1 class 8 solution -students can click here to download the entire pdf chapterwise .here free pdf can be download for NCERT solution class 8. all Exercise are available here. These solutions are available in downloadable PDF format as well. it will help students in getting rid of all the doubts about those particular topics that are covered in the exercise. The NCERT textbook provides plenty of questions for the students to solve and practise. Solving and practising is more than enough to score high in the Class 8 examinations. Moreover, students should make sure that they practise every problem given in the textbook.exercise 10.1 class 8 solution Pdf can be downloaded free here.

Exercise 10.1 class 8 solution-what is exponents ?

Exponents, also known as powers or indices, are mathematical notation used to represent repeated multiplication of a number by itself. The exponent tells you how many times a base number should be multiplied by itself. The basic form of an exponent is:

a^n

Where:

a is the base, which is the number you’re multiplying.

n is the exponent, which is the number of times the base is multiplied by itself.

For example:

Exponents can also be negative or fractional:

Exponents have many applications in mathematics, science, engineering, and various fields of study, and they are fundamental for understanding and solving problems related to exponential growth, powers, and roots.

Example: 1. evaluate 4^-3

solve.To evaluate this you can use the negative exponent rule, which states that a negative exponent signifies taking the reciprocal of the base raised to the positive exponent:

2. (3/2)^-3

Exercise 10.1 class 8 solution-power with negative exponents

Negative exponents represent the reciprocal (or the inverse) of the corresponding positive exponent. When you have a number raised to a negative exponent, you can find its value by taking the reciprocal of the number raised to the positive exponent.

Here’s how it works:

Negative exponents often arise when dealing with fractions or expressing numbers in scientific notation. They signify taking the reciprocal of the number raised to the positive exponent.

Exercise 10.1 class 8 solution-Laws of exponents

The laws of exponents (also known as the rules or properties of exponents) are a set of mathematical rules that help simplify and manipulate expressions involving exponents. These rules are fundamental in algebra and arithmetic. Here are the primary laws of exponents:

Product Rule: When you multiply two exponential expressions with the same base, you can add their exponents.

Quotient Rule: When you divide two exponential expressions with the same base, you can subtract the exponent in the denominator from the exponent in the numerator.

Power Rule: When you raise an exponential expression to another exponent, you can multiply the exponents.

Negative Exponent Rule: A negative exponent signifies taking the reciprocal of the base raised to the positive exponent.

Zero Exponent Rule: Any non-zero number raised to the power of zero is equal to 1. for example 5 power 0 will equals to 1

Multiplication by Zero Rule: Any non-zero number raised to the power of zero is equal to zero.

0 power n equals to zero.where n is positive integer.

These laws make it easier to simplify and manipulate expressions with exponents, and they are particularly useful when working with algebraic expressions, equations, and scientific notation.

Exercise 10.1 class 8 solution- exercise preview

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Exercise 10.1 class 8 solution- solution pdf

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10.1-1

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