Question 2 (Page 29) - The Other Side of Powers - Chapter 2 Class 8 - Power Play (Ganita Prakash)

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Question 2 (Page 29) Simplify and write the answers in exponential form. (i) 2–4 × 27 Now, 2–4 × 27 = 2–4 + 7 = 27 – 4 = 23 Using am × an = am + n Here, m & n can be positive or negative powers Question 2 (Page 29) Simplify and write the answers in exponential form. (ii) 32 × 3–5 × 36 Now, 32 × 3–5 × 36 = 32 – 5 + 6 = 36 + 2 – 5 = 38 – 5 = 33 Using am × an = am + n Here, m & n can be positive or negative powers Question 2 (Page 29) Simplify and write the answers in exponential form. (iii) p3 × p–10Now, p3 × p–10 = p3 + (–10) = p3 – 10 = p–7 Using am × an = am + n Here, m & n can be positive or negative powers Question 2 (Page 29) Simplify and write the answers in exponential form. (iv) 24 × (– 4)–2 Now, 24 × (– 4)–2 = 24 × 1/(−4)^2 Since even power of negative number is positive = 24 × 1/4^2 = 24 × 1/(2^2 )^2 Using (am)n = am × n = 24 × 1/2^(2 × 2) = 24 × 1/2^4 = 1 Question 2 (Page 29) Simplify and write the answers in exponential form. (v) 8p × 8qNow, 8p × 8q = 8p + q Using am × an = am + n Here, m & n can be positive or negative powers