Last updated at April 16, 2024 by Teachoo
Ex 10.1, 6 Evaluate (ii) (5/8)^(−7)×(8/5)^(−4) (5/8)^(−7)×(8/5)^(−4) = 5^(−7)/8^(−7) × 8^(−4)/5^(−4) = 5^(−7) × 1/8^(−7) × 8^(−4) × 1/5^(−4) = 1/5^7 × 8^7 × 1/8^4 × 5^4 = 𝟖^𝟕/𝟖^𝟒 ×𝟓^𝟒/𝟓^𝟕 = 8^(7 − 4)×5^(4 − 7) = 𝟖^𝟑 × 𝟓^(−𝟑) = 𝟖^𝟑/𝟓^𝟑 = (8 × 8 × 8 )/(5 × 5 × 5) = (64 × 8 )/(25 × 5) = 𝟓𝟏𝟐/𝟏𝟐𝟓