Question 1 (Page 24) - Formulas of Exponents - Chapter 2 Class 8 - Power Play (Ganita Prakash)

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Question 1 (Page 24) Use this observation (𝑛^𝑎 × 𝑛^𝑏=𝑛^(𝑎+𝑏)) to compute the following. (i) 29 We divide the main power as a sum of two/three/four powers which we can easily calculate Now, 𝟐^𝟗=𝟐^(𝟑 +𝟑 + 𝟑) =𝟐^𝟑 × 𝟐^𝟑× 𝟐^𝟑 =8 × 8 × 8 =64 × 8 =𝟓𝟏𝟐 Question 1 (Page 24) Use this observation (𝑛^𝑎 × 𝑛^𝑏=𝑛^(𝑎+𝑏)) to compute the following. (ii) 57We divide the main power as a sum of two/three/four powers which we can easily calculate Now, 𝟓^𝟕=𝟓^(𝟐 + 𝟐 + 𝟑) =𝟓^𝟐 × 𝟓^𝟐× 𝟓^𝟑 =25 × 25 × 125 =625 × 125 =𝟕𝟖𝟏𝟐𝟓 Question 1 (Page 24) Use this observation (𝑛^𝑎 × 𝑛^𝑏=𝑛^(𝑎+𝑏)) to compute the following. (iii) 46We divide the main power as a sum of two/three/four powers which we can easily calculate Now, 𝟒^𝟔=𝟒^(𝟐 + 𝟐 + 𝟐) =𝟒^𝟐 × 𝟒^𝟐× 𝟒^𝟐 =16 × 16 × 16 =256 × 16 =𝟒𝟎𝟗𝟔