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Simplify and Express the Following in Exponential Form: 25exponents 4 ÷5exponents3 - Mathematics

Simplify and express the following in exponential form:

25⁴ ÷5³

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Solution

25⁴ ÷ 5³ = (5 ×5)⁴ ÷ 5³

= (5²)⁴ ÷ 5³

= 5^{2 × 4} ÷ 5³ (a^m)ⁿ = a^mn

= 5⁸ ÷ 5³

= 5^{8 − 3} (a^m ÷ aⁿ = a^m⁻ⁿ)

= 5⁵

Concept: Laws of Exponents - Dividing Powers with the Same Base

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Chapter 13: Exponents and Powers - Exercise 13.2 [Page 260]

Q 2.03 Q 2.02 Q 2.04

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NCERT Class 7 Maths

Chapter 13 Exponents and Powers
Exercise 13.2 | Q 2.03 | Page 260

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Laws of Exponents - Dividing Powers with the Same Base

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