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Ex 13.2, 5 - Chapter 13 Class 7 Exponents and Powers - Part 5

Ex 13.2, 5 - Chapter 13 Class 7 Exponents and Powers - Part 6

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Transcript

Ex 13.2, 5 Simplify: (iii) (3^5 × 〖10〗^5 × 25)/(5^7 ×〖 6〗^5 ) (3^5 × 〖10〗^5 × 25)/(5^7 ×〖 6〗^5 ) = (3^5 × (2 × 5)^5 × (5 × 5))/(5^7 × (2 × 3)^5 ) = (3^5× 2^5 × 5^5 × 5^2)/(5^7 ×〖 2〗^5 × 3^5 ) = 2^5/2^5 × 3^5/3^5 × 5^(5 + 2)/5^7 = 2^5/2^5 × 3^5/3^5 × 5^7/5^7 [(a × b)m = am × bm] [am × an = am + n] = 2^(5 − 5) × 3^(5 − 5) × 5^(7 − 7) = 2^0 × 3^0 × 5^0 = 1 × 1 × 1 = 1 [𝑎^𝑚/𝑎^𝑛 " = " 𝑎^(𝑚 − 𝑛) ]

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