Question 3 (Page 24) - Formulas of Exponents - Chapter 2 Class 8 - Power Play (Ganita Prakash)

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Question 3 (Page 24) Write the following expressions as a power of a power in at least two different ways: (i) 86     (ii) 715    (iii) 914    (iv) 58We have to write it as (𝒂^𝒑 )^𝒒=𝒂^(𝒑 × 𝒒) Now, we can write 6 = 2 × 3 6 = 3 × 2 Thus, 8^6=8^(2 × 3)=(𝟖^𝟐 )^𝟑 8^6=8^(3 × 2)=(𝟖^𝟑 )^𝟐 Question 3 (Page 24) Write the following expressions as a power of a power in at least two different ways: (ii) 715 We have to write it as (𝒂^𝒑 )^𝒒=𝒂^(𝒑 × 𝒒) Now, we can write 15 = 3 × 5 15 = 5 × 3 Thus, 7^15=7^(3 × 5)=(𝟕^𝟑 )^𝟓 7^15=7^(5 × 3)=(𝟕^𝟓 )^𝟑 Question 3 (Page 24) Write the following expressions as a power of a power in at least two different ways: (iii) 914We have to write it as (𝒂^𝒑 )^𝒒=𝒂^(𝒑 × 𝒒) Now, we can write 14 = 2 × 7 14 = 7 × 2 Thus, 9^14=9^(2 × 7)=(𝟗^𝟐 )^𝟕 9^14=9^(7 × 2)=(𝟗^𝟕 )^𝟐 Question 3 (Page 24) Write the following expressions as a power of a power in at least two different ways: (iv) 58We have to write it as (𝒂^𝒑 )^𝒒=𝒂^(𝒑 × 𝒒) Now, we can write 8 = 2 × 4 8 = 4 × 2 Thus, 5^8=5^(2 × 4)=(𝟓^𝟐 )^𝟒 5^8=5^(4 × 2)=(𝟓^𝟒 )^𝟐