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Ex 13.2, 5 - Chapter 13 Class 7 Exponents and Powers - Part 3

Ex 13.2, 5 - Chapter 13 Class 7 Exponents and Powers - Part 4

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Transcript

Ex 13.2, 5 Simplify: (ii) (25 ×〖 5〗^2 ×〖 𝑡〗^8)/(〖10〗^3 ×〖 𝑡〗^4 ) (25 ×〖 5〗^2 ×〖 𝑡〗^8)/(〖10〗^3 ×〖 𝑡〗^4 ) = ((5 × 5) × 5^2 × 𝑡^8)/((2 × 5)^3 × 𝑡^4 ) = (5^2 × 5^2 × 𝑡^8)/(2^3× 5^3 ×〖 𝑡〗^4 ) = (5^(2 + 2) ×〖 𝑡〗^8)/(2^(3 )× 5^3× 𝑡^4 ) = 5^4/5^3 × 𝑡^8/𝑡^4 × 1/2^3 ((a × b)m = am bm) [𝑎^𝑚/𝑎^𝑛 " = " 𝑎^(𝑚 − 𝑛) ] = (5^(4 − 3)× 𝑡^(8−4))/2^3 = (5 × 𝑡^4)/8 = 𝟓/𝟖 𝒕^𝟒

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