Алгебра степени 7 класс

58.9.a) 2² * (2z²)⁴ = 4 * 2⁴ * z⁸ = 4 * 16 * z⁸ = 64z⁸

б) (5a³b)⁴ : (5a⁵b)² = $\frac{(5^2)^2*a^{12}b^4}{5^2*a^{10}b^2} = 25a^2b^2$

в) (xy)³ : xy = $\frac{(xy)^3}{xy} = (xy)^2 = x^2y^2$

г) (6u³)³ : (36u*u³) = $\frac{(6u^3)^3}{(36u^4)} = \frac{6^2*6*u^9}{6^2*u^4} = 6u^5$

58.10.
a) (2⁶ * 5⁶) : 10⁴ = $\frac{(2*5)^6}{10^4} = \frac{10^6}{10^4} = 10^2 = 100$

б) (-0,1)² * 100² * 0,1² = (-0,1*0,1*100)² = (-1)² = 1

в) 3² * $(\frac{5}{9})^4 * (1 \frac{4}{5})^4$ = 3² * $(\frac{5}{9} * \frac{9}{5})^4$ = 9 * 1 = 9

г) $(( \frac{8^5}{4^6})^0)^3 = 1^3 = 1$