Ex 10.1, 7 (ii) - Chapter 10 Class 8 Exponents and Powers

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Ex 10.1, 7 Simplify. (ii) (3^(−5 ) × 10^(−5 ) × 125)/(5^(−7 ) × 6^(−5) ) (3^(−5 )× 10^(−5 ) × 125)/(5^(−7 ) × 6^(−5) ) = 3^(−5) × 10^(−5) × 125 × 1/5^(−7) ×1/6^(−5) = 𝟏/𝟑^(𝟓 ) ×𝟏/〖𝟏𝟎〗^𝟓 × 𝟏𝟐𝟓 × 𝟓^𝟕 × 𝟔^𝟓 = 𝟔^𝟓/𝟑^𝟓 ×1/10^5 × 125 × 5^7 = (𝟔/𝟑)^𝟓×1/10^5 × 125 × 5^7 = (𝟐)^𝟓×1/10^5 × 𝟏𝟐𝟓 × 5^7 = 2^5 × 1/10^5 × 𝟓^𝟑 × 5^7 = 2^5×1/10^5 × 𝟓^(𝟑 + 𝟕) = 2^5×1/10^5 × 𝟓^𝟏𝟎 = (𝟐/𝟏𝟎)^𝟓×5^10 = (𝟏/𝟓)^𝟓×5^10 = 1^5/5^5 ×5^10 = 𝟏/𝟓^𝟓 × 𝟓^𝟏𝟎 = 5^10/5^5 = 5^(10 − 5) = 𝟓^𝟓

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo