質問: simplify and write the answer in the exponential form. (i) `(2^5 -: 2^8)^5 xx 2^(-5)` (ii) `(-4)^(-3) xx (5)^(-3) xx (-5)^(-3)` (iii) `1/8 xx (3)^(-3)` (iv) `(-3)64 xx (5/3)^4` simplify and write the answer in the exponential form. (i) `(2^5 -: 2^8)^5 xx 2^(-5)` (ii) `(-4)^(-3) xx (5)^(-3) xx (-5)^(-3)` (iii) `1/8 xx (3)^(-3)` (iv) `(-3)64 xx (5/3)^4`
回答: solution: (i) `(2^(5-8))^5 xx 2^-5` `(2^-3)^5 xx 2^-5` `2^-15 xx 2^-5` `2^(-15-5) = 2^-20` (ii) `(-4)^-3 xx (5)^-3 xx (-5)^-3` `(-4 xx 5 xx -5)^-3` `= (100)^-3` (iii) `1/8 xx (3)^-3` `= 1/(2^3) xx (3)^-3` = `2^-3 xx 3^-3` `=(2 xx3)^-3` `= 6^-3` (iv) `(-3)^4 xx (5/3)^4` `(-3 xx 5/3)^4` `= (-5)^4` answers