Question

Calculati si aduceti la o forma mai simpla:a)√10$\frac{9}{16}$·0,04=;b)(0,2)^-3·(0,2)²+(6,5)⁰-3³·3 ^-2=;c)√77·24·33·14=

Answer 1

a)√(10×9/16×0,04)=√(90/4×0,01)=√(90/4×1/100)=√(90/400)=(3√10)/20

b)(0,2)⁻³·(0,2)²+(6,5)⁰-3³·3⁻²=(1/5)⁻³·(1/5)²+1-3³·1/3²=
=5³·1/5²+1-3=5-2=3

c)√77·24·33·14=√11·7·2³·3·11·3·2·7=√2⁴·3²·7²·11²=2²·3·7·11=924