Представьте в виде куба одночлена заданные выражения:
а) $a^3b^3; x^6y^9; 8m^3n^9; 125k^9t^{27}$;
б) $\frac{1}{64}p^9; \frac{27}{125}s^{18}; \frac{1}{343}m^{12}; \frac{125}{216}a^{24}$;
в) $0,064a^3b^3; 0,125x^9y^3; 0,216m^3n^{18}; 0,008p^9q^{12}$;
г) $125x^3y^6z^9; 216a^{12}b^{36}c^{24}; 8m^6n^3p^{12}; 0,343k^9l^{18}p^{15}$.
$a^3b^3 = (ab)^3$
$x^6y^9 = (x^2)^3 * (y^3)^3 = (x^2y^3)^3$
$8m^3n^9 = 2^3 * m^3 * (n^3)^3 = (2mn^3)^3$
$125k^9t^{27} = 5^3 * (k^3)^3 * (t^9)^3 = (5k^3t^9)^3$
$\frac{1}{64}p^9 = (\frac{1}{4})^3 * (p^3)^3 = (\frac{1}{4}p^3)^3$
$\frac{27}{125}s^{18} = (\frac{3}{5})^3 * (s^6)^3 = (\frac{3}{5}s^6)^3$
$\frac{1}{343}m^{12} = (\frac{1}{7})^3 * (m^4)^3 = (\frac{1}{7}m^4)^3$
$\frac{125}{216}a^{24} = (\frac{5}{6})^3 * (a^8)^3 = (\frac{5}{6}a^8)^3$
$0,064a^3b^3 = 0,4^3 * a^3 * b^3 = (0,4ab)^3$
$0,125x^9y^3 = 0,5^3 * (x^3)^3 * y^3 = (0,5x^3y)^3$
$0,216m^3n^{18} = 0,6^3 * m^3 * (n^6)^3 = (0,6mn^6)^3$
$0,008p^9q^{12} = 0,2^3 * (p^3)^3 * (q^4)^3 = (0,2p^3q^4)^3$
$125x^3y^6z^9 = 5^3 * x^3 * (y^2)^3 * (z^3)^3 = (5xy^2z^3)^3$
$216a^{12}b^{36}c^{24} = 6^3 * (a^4)^3 * (b^{12})^3 * (c^8)^3 = (6a^4b^{12}c^8)^3$
$8m^6n^3p^{12} = 2^3 * (m^2)^3 * n^3 * (p^4)^3 = (2m^2np^4)^3$
$0,343k^9l^{18}p^{15} = 0,7^3 * (k^3)^3 * (l^6)^3 * (p^5)^3 = (0,7k^3l^6p^5)^3$
Пожауйста, оцените решение
