# Exercise 10.1 class 8 solution

#### 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:

1. 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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