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Power of a Power Rule
Last updated at Aug. 18, 2025 by Teachoo
Class 8 (Ganita Prakash & Old NCERT)
Chapter 2 Class 8 - Power Play (Ganita Prakash)
- Basic Concepts & Formulas
- Introduction
- Exponential Notation and Operations
- Figure it out - Page 22, 23
- The Stones that Shine ...
-
Formulas of Exponents
- Magical Pond
- Multiplying & Dividing two numbers with Same Power
- Combinations
- The Other Side of Powers
- Power Lines
- Powers of 10
- Scientific Notation
- Did you ever Wonder..
- Linear Growth vs Exponential Growth
- Getting a sense of Large Numbers
- A Pinch of History
- Figure it out - Page 44, 45
Transcript
Power of a Power Rule Power of a power rule is basically (π^π )^π=π^(π Γ π) For Example (π^π )^π=2^(4 Γ 3)=2^12 π^π=5^(2 Γ 3)=(π^π )^π=(π^π )^π Letβs look at some proofs Proof of Power of a Power For (π^π )^π=π^(π Γ π) (π^π )^π=π^π Γ π^π Γ π^π =2^(4 + 4 + 4) =π^ππ For (π^π )^π=π^(π Γ π) (π^π )^π=π^π Γ π^π Γ π^π =5^(2 + 2 + 2) =π^π
