b_2
1) (256)^(1/4) -1/3∛27/8 =4 -(1/3)*(3/2) =4 -1/2 =3,5
2)
а) x³ =-512 ;
x = -8 .
б) (x+2)^(1/4) =3 ;
x+2 =3⁴ ;
x=81 -2 =79.
3) 2π или ∛215 .
2π >6 ; ∛215 <∛216=6.<strong>
2π > ∛215
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b_3
1) (243)^(1/5) +3∛(4 17/27) =(3^5) ^(1/5) +3∛125/27 =3+3*5/3 =8.^
2)
а) x^8 =256 ;
(x^4)^2 (2^4) ^2 ;
x^4 =16;
(x²)² =4²
x² =4;
x = ±2.
б) (x² -x -40)^(1/4) =2 ;
x² -x -40 =2^4 ;
x² -x -40 =16;
x² -x -56 =0;
x₁ = -7;
x₂ =8.
3)π/2 или ∛9 .
π/2 < 4/2=2 =∛8 < ∛9.<br>
π/2 < ∛9 .