Law of exponents:

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9th Maths Ch#01 Real and Complex Numbers Law of exponents:

Law of Exponents

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1. Multiplication of Exponents:

Example:

Example: (2)3 ×24

Solution:

(2)3 = 2 ×2 ×2 = 8, and 24 = 2 ×2 ×2 ×2 = 16.

So, (2)3 ×24 = 8 ×16 = 128.

 innovative opportunities.

2. Division of Exponents:

Example:

 57  / 53

Solution:

Solution: 57 = 5 ×5 ×5 ×5 ×5 ×5 ×5 = 78125, and 53 = 5 ×5 ×5 = 125.

So, 57 / 53 = 78125 / 125 = 625.

3. Power to a Power:

Example:

(32)4

Solution:

32 = 3 × 3 = 9, and (32)4 = 94 = 6561.

4. Product Raised to an Exponent:

Example:

(2 ×3)4

Solution:

(2 ×3)4 = 64 = 1296.

5. Quotient Raised to an Exponent:

Example:

Example: (4/2)3

Solution:

 (4/2)3 = 23 = 8.

6. Zero Exponent:

Example:

 70

Solution:

7. Negative Exponent:

Example:

2-3

Solution:

A negative exponent means taking the reciprocal: 2-3 = 1 / 23 = 1 / 8 = 0.125.



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