1.口算:
(1)$6x^{2}· 3xy^{2}=$
$18x^{3}y^{2}$
;
(2)$2x^{2}y· \frac{3}{2}xy=$
$3x^{3}y^{2}$
;
(3)$2ab^{2}· (-5ab^{4})=$
$-10a^{2}b^{6}$
;
(4)$(2.5× 10^{9})× (-0.8× 10^{4})=$
$-2×10^{13}$
.
答案:1.(1)$18x^{3}y^{2}$ (2)$3x^{3}y^{2}$ (3)$-10a^{2}b^{6}$ (4)$-2×10^{13}$
2. 计算:
(1)$(2x)^3 · (-5xy^2)$;
(2)$5x^2y · (-2xy^2)^3$;
(3)$2x^2y · (-4xy^3z)$;
(4)$(-\dfrac{1}{3}x^2y)^3 · (-2xy^2z)^2$;
(5)$(-3ab^3)^2 · (-a^2b)$;
(6)$(-\dfrac{1}{2}a^2b^3)^3 · (-2a^2b)^2$;
(7)$(-2 × 10^5)^2 ÷ (8 × 10^5)$;
(8)$3x^3y^3 · (-\dfrac{2}{3}x^2y^2) + (-\dfrac{1}{3}x^2y)^3 · 9xy^2$。
答案:2.(1)$-40x^{4}y^{2}$ (2)$-40x^{5}y^{7}$ (3)$-8x^{3}y^{4}z$
(4)$-\frac{4}{27}x^{8}y^{7}z^{2}$ (5)$-9a^{4}b^{7}$ (6)$-\frac{1}{2}a^{10}b^{11}$
(7)$5×10^{4}$ (8)$-2x^{5}y^{5}-\frac{1}{3}x^{7}y^{5}$