Question

1.Calculati:
a)[ 5,(4)]^{18} : (\frac{49}{9}) ^{17}

b) [[( \frac{27}{25} - \frac{1}{2} * \frac{21}{25} )]* \frac{25}{3} -1]*3013- 10^{3}
d)a*b+a*c,stiind ca a= \frac{3}{16} si b+c= \frac{4}{9}

e)9a+4b+5c,stiind ca a+b= \frac{10}{3} si a+c=5[/tex]

OFER 15 PUNCTE+CORONITA!!

Answer 1

a)[ 5,(4)]¹⁸: (49/9)¹⁷ =[(54-5)/9]¹⁸ : (49/9)¹⁷=(49/9)¹⁸ : 49/9¹⁷=49/9


b) [[( 27/25 - 1/2 * 21/25 )]*25/3 -1]*3013- 10³=
= [[( 27/25 - 21/50 )]*25/3 -1]*3013- 10³=
= [[( 54- 21)/50 )]*25/3 -1]*3013- 10³=
= [(33/50 *25/3 -1)*3013- 10³=
= [(11/2 -1)*3013- 10³=
= 9/2*3013- 10³=
= 27117/2- 1000=
=25117/2=12558,5

d)a*b+a*c,stiind ca a=3/16 si b+c= 4/9 
a*b+a*c=a(b+c)=3/16× 4/9=1/12

e)9a+4b+5c,stiind ca a+b= 10/3 si a+c=5
9a+4b+5c=4a+ab+5a+5c=4(a+b)+5(a+c)=4×10/3+5×5=40/3+25=
=115/6=38,(3)