Решим задания из варианта 2.1.
1) (ab)$$\qquad (ab)^9 = a^9b^9$$
2) (xyz)$$\qquad (xyz)^2 = x^2y^2z^2$$
3) (0,1x)⁴$$\qquad (0,1x)^4 = 0,0001x^4$$
4) (4ac)⁴$$\qquad (4ac)^4 = 256a^4c^4$$
5)$$\qquad \left(\frac{1}{3}xz\right)^3 = \frac{1}{27}x^3z^3$$
6) (a²)⁵a⁵$$\qquad (a^2)^5 a^5 = a^{10}a^5 = a^{15}$$
7) (a²a⁵)²$$\qquad (a^2a^5)^2 = (a^7)^2 = a^{14}$$
8) a⁴(a⁴)⁴$$\qquad a^4(a^4)^4 = a^4 a^{16} = a^{20}$$
9) (aa²)³$$\qquad (aa^2)^3 = (a^3)^3 = a^9$$
Упростите выражение
10) y¹² : y⁶y²$$\qquad y^{12} : y^6y^2 = y^{12} : y^8 = y^4$$
11) (b⁴)⁵(y²)⁴$$\qquad (b^4)^5(y^2)^4 = b^{20}y^8$$
12) (b³)²(y³)³$$\qquad (b^3)^2(y^3)^3 = b^6y^9$$