Power of a Power Rule - formula with Examples - Teachoo - Formulas of  - Formulas of Exponents

part 2 - Power of a Power Rule - Formulas of Exponents - Chapter 2 Class 8 - Power Play (Ganita Prakash) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)

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Transcript

Power of a Power Rule Power of a power rule is basically (𝒂^𝒑 )^𝒒=𝒂^(𝒑 Γ— 𝒒) For Example (𝟐^πŸ’ )^πŸ‘=2^(4 Γ— 3)=2^12 πŸ“^πŸ”=5^(2 Γ— 3)=(πŸ“^𝟐 )^πŸ‘=(πŸ“^πŸ‘ )^𝟐 Let’s look at some proofs Proof of Power of a Power For (𝟐^πŸ’ )^πŸ‘=𝟐^(πŸ’ Γ— πŸ‘) (𝟐^πŸ’ )^πŸ‘=𝟐^πŸ’ Γ— 𝟐^πŸ’ Γ— 𝟐^πŸ’ =2^(4 + 4 + 4) =𝟐^𝟏𝟐 For (πŸ“^𝟐 )^πŸ‘=πŸ“^(𝟐 Γ— πŸ‘) (πŸ“^𝟐 )^πŸ‘=πŸ“^𝟐 Γ— πŸ“^𝟐 Γ— πŸ“^𝟐 =5^(2 + 2 + 2) =πŸ“^πŸ”

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CA Maninder Singh is a Chartered Accountant with 16+ years of practical experience and 20+ years of teaching experience. At Teachoo, he simplifies Accounts, Tax and GST with step-by-step examples so students can apply concepts confidently in exams and real life.

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