Question

Решить задания , даю много баллов .

Answer 1

$1.\;-9p^3=-9\cdot\left(-\frac13\right)^3=-9\cdot\left(-\frac1{27}\right)=\frac9{27}=\frac13\\\\2.\;a)\;c^3\cdot c^{22}=c^{3+22}=c^{25}\\b)\;c^{18}:c^6=c^{18-6}=c^{12}\\c)\;(c^4)^6=c^{4\cdot6}=c^{24}\\d)\;(3c^5)=3^5\cdot c^5=243c^5$

$3.\;a)\;-4x^5y^2\cdot3xy^4=-4\cdot3\cdot x^{5+1}y^{2+4}=-12x^6y^6\\b)\;(3x^2y^3)^2=3^2\cdot(x^2)^2\cdot(y^3)^2=9x^4y^6$

4. График - см. рисунок.

y = 4 при x = 2 и x = -2.

$5.\;\frac{3^6\cdot27}{81^2}=\frac{3^6\cdot3^3}{(3^4)^2}=\frac{3^{6+3}}{3^{4\cdot2}}=\frac{3^9}{3^8}=3^{9-8}=3^1=3$

$6.\\a)\;3\frac37x^5y^6\cdot\left(-2\frac13x^5y\right)^2=\frac{24}7x^5y^6\cdot\left(-\frac73x^5y\right)^2=\frac{24}7x^5y^6\cdot\frac{49}9x^{10}y^2=\\\\=\frac{8\cdot7}3x^{5+10}y^{6+2}=\frac{56}3x^{15}y^8=18\frac23x^{15}y^8$

$b)\;(a^{\Pi+1})^2:a^{2\Pi}=a^{2\cdot(\Pi+1)}:a^{2\Pi}=a^{2\Pi+2}:a^{2\Pi}=a^{2\Pi+1-2\Pi}=a^1=a$