Question 5 - Figure it out - Page 44, 45 - Chapter 2 Class 8 - Power Play (Ganita Prakash)

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Question 5 (i) Simplify and write these in the exponential form. (i) 10–2 × 10– 5Now, 10^(−2) × 10^(−5)=〖𝟏𝟎〗^((−𝟐+(−𝟓)) ) =10^((−2 − 5) ) =〖𝟏𝟎〗^(−𝟕) Question 5 Simplify and write these in the exponential form. (ii) 57 ÷ 54Now, 5^7÷5^4=𝟓^𝟕/𝟓^𝟒 =5^((7 − 4)) =𝟓^𝟑 Question 5 Simplify and write these in the exponential form. (iii) 9–7 ÷ 94 Now, 9^(−7)÷9^4=𝟗^(−𝟕)/𝟗^𝟒 =1/9^7 × 1/9^4 =1/(9^7 × 9^4 ) =1/9^((7 + 4)) =1/9^11 =𝟗^(−𝟏𝟏) Question 5 Simplify and write these in the exponential form. (iv) (13–2)– 3 Now, (13^(−2) )^(−3)=〖𝟏𝟑〗^(−𝟐 × −𝟑) =13^(2 × 3) =〖𝟏𝟑〗^𝟔 Question 5 Simplify and write these in the exponential form. (v) m5n12(mn)9 Now, 〖𝑚^5 𝑛^12 (𝑚𝑛)〗^9=𝑚^5 𝑛^12 × 𝒎^𝟗 𝒏^𝟗 =(𝑚^5 × 𝑚^9 ) × (𝑛^12 × 𝑛^9 ) =𝒎^(𝟓 + 𝟗) × 𝒏^(𝟏𝟐 + 𝟗) =𝑚^14 × 𝑛^21 =𝒎^𝟏𝟒 𝒏^𝟐𝟏