1) 8<span>¹⁶ / 16¹² = 2⁴⁸ / 2⁴⁸ = 1 </span>
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<span>2) (15<span>а²</span><span>- 10ab)/(<span><span>3ab-2b²) = 5а(3а - 2<span><span>b</span></span>)/(<span><span>b</span></span>·<span><span><span><span>(3а - 2<span><span>b</span></span>)</span></span></span></span>) = 5а/<span><span><span><span><span><span>b</span></span></span></span></span></span></span></span></span></span>
При а= -2,b= -0,1
<span><span><span><span>5а/<span><span><span><span><span><span>b</span></span></span></span></span></span></span></span></span></span> = 5·(-2)/(-0,1) = -10/(-0,1) = 100
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<span>12 - l4x-8l > 7
|4x-8|<12-7
4|x-2|<5
|x-2|<1,25
-1,25<x-2<1,25
-1,25+2<x<1,25+2
0,75<x<3,25
{1;2;3}-натуральные решения неравенства. Всего их 3
Ответ: 3
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Sin(3x+3π)=-sin2x
sin(3x+3π/2)=-cos3x
(-sin2x)*(-cos3x)-sin3x*cos2x=-1
sin2x*cos3x-sin3x*cos2x=-1
sin(2x-3x)=-1
sin(-x)=-1, -sinx=-1
sinx=1 частный случай
<u>x=π/2+2πn, n∈Z</u>