6. 1-24/25-1/25+1=1-1+1=1
5^3/8·3^6/8·3^-5/8*3^1/4*5^5/8*3^5/8=3^[6/8-5/8+2/8+5/8]*5^[3/8+5/8]=3*5=15
7/ 0.2*5³ --- 10/2*625^1/8
25 ------- 5*√5 25>5√5 Первое число больше
8. ... = [1-2√а/√в+ а/в]*в/(√в-√а)=(1-√а/√в)²·в/)(√в-√а ) =√в-√а при а=0,49 и в=1,21 = √1,21-√0,49=1,1-0,7=0,4
6) 0,0001 * 0,1⁵ = 10⁻⁴ * (10⁻¹)⁵ = 10⁻⁴ * 10⁻⁵ = 10⁻⁴⁻⁵ =10⁻⁹
(sin²a)³+(cos²a)³+3sin²acos²a=1
(sin²a+cos²a)³-3(sin²a²)cos²a-3sin²a(cos²a)²+3sin²acos²a=1
1³-3sin²acos²a*(sin²a+cos²a-1)=1
1-3sin²acos²a*(1-1)=1
1-3sin²acos²a**0=1
1-0=1
1=1