1.
a0<span> = 1 (</span>a<span> ≠ 0)</span>
2.
a1<span> = </span>a
3.
<span>an</span><span> · </span><span>am</span><span> = </span>a<span>n + m</span>
4. (
<span>an</span>)m<span> = </span><span>anm</span>
5.
<span>an</span><span>bn</span><span> = (</span>ab)n
<span><span><span>6. <span>a-n</span> = </span>1</span><span>an</span></span>
<span><span>7. <span>an</span><span> = <span>an - m</span></span></span><span>am</span></span>
8.
a<span>1/n</span><span> = </span>n√<span>a</span>
(4x - 3y)^2 - (2x + y)(3x - 5y)
(16x^2 - 24xy + 9y^2) - (6x^2 - 10xy + 3xy - 5y^2)
16x^2 - 24xy +9y^2 - 6x^2 + 10xy - 3xy + 5y^2
10x^2 + 14y^2 - 17xy
10x^2 - 17xy + 14y^2
<u>Ответ: 10x^2 - 17xy + 14y^2</u>
-x² + 8 = 0
-x² = -8,
x² = 8,
x = 2√2, x = -2√2.
Ответ: 2√2, -2√2.