Example 7 (ii) - Chapter 10 Class 8 Exponents and Powers
Last updated at April 16, 2024 by Teachoo
Examples
Example 1 (i)
Example 1 (ii) Important
Example 2 (i) Important
Example 2 (ii)
Example 3 Important
Example 4 (i) Important
Example 4 (ii)
Example 4 (iii) Important
Example 4 (iv)
Example 5 Important
Example 6
Example 7 (i) Important
Example 7 (ii) You are here
Example 8 (i) Important
Example 8 (ii)
Example 9 (i) Important
Example 9 (ii) Important
Example 9 (iii)
Transcript
Example 7 Simplify (ii) (5/8)^(−7)× (8/5)^(−5) (5/8)^(−7)× (8/5)^(−5) = 5^(−7)/8^(−7) × 8^(−5)/8^(−5) = 5^(−7)/5^(−5) × 8^(−5)/8^(−7) = 5^(−7 − (−5))×8^(−5 − (−7)) = 5^(−7 + 5)×8^(−5 + 7) = 5^(−2)×8^2 = 1/5^2 ×8^2 (𝑈𝑠𝑖𝑛𝑔 (𝑎/𝑏)^𝑚=𝑎^𝑚/𝑏^𝑚 ) (𝑈𝑠𝑖𝑛𝑔 𝑎^𝑚/𝑎^𝑛 =𝑎^(𝑚 − 𝑛) ) = (8 × 8)/(5 × 5) = 𝟔𝟒/𝟐𝟓
