1 вариант плес,алгебра 7 класс

1.
а) $\frac{ x^{3} * x }{ x^{2^{2}}} = \frac{x^{4}}{x^{4}} = 1$
б) $(-1\frac{2}{7}a^{3}bc^{5})^{2} = (\frac{-9}{7}a^{3}bc^{5})^{2} = \frac{81}{49}a^{6}b^{2}c^{10} = 1\frac{32}{49}a^{6}b^{2}c^{10}$
в) $(-2a^{4})^{3}*2a^{3} = -8a^{12} * 2a^{3} = -16a^{15}$

2.
а) $1^{5} - (-1)^{5} = 1^{5} + 1^{5} = 2$
б) $(-1\frac{1}{3})^{3} = (-\frac{4}{3})^{3} = -\frac{64}{9} = -7\frac{1}{9}$
в) $10^{2} * 0,2 = 100 * 0,2 = 20$

3.
а) $3a^{4}b * (-7a^{5}b^{3}) = -21a^{9}b^{4}$
б) $-24x^{3}y * (\frac{1}{2}y^{3})^{2} = -24x^{3}y * \frac{1}{4}y^{6} = -6x^{3}y^{7}$

4.
$\frac{4^{5} * 2^{6}}{32^{3}} = \frac{2^{10}*2^{6}}{2^{15}} = \frac{2^{16}}{2^{15}} = 2$