Question

Возведите в степень
(x/2y^2)^3
(-3x/y4)

Answer 1

$( \frac{x}{2y {}^{2} } ) {}^{3} = \frac{x {}^{3} }{2 {}^{3{}^{} }y {}^{3 \times 2} } = \frac{x {}^{3} }{2 {}^{3} y {}^{6} } = \frac{x {}^{3} }{2 \times 2 {}^{2} y {}^{6} } = \frac{x {}^{3} }{2 \times 4y {}^{6} } = \frac{ {x}^{3} }{8y {}^{6} }$

$( - \frac{3x {}^{4} }{y {}^{4} } ) {}^{2} = \frac{( - 3) {}^{2}x {}^{2 \times 4} }{(y {}^{4}) {}^{2} } = \frac{( - 3) {}^{2}x {}^{8}}{(y {}^{4} ) { }^{2} } = \frac{9x {}^{8} }{(y {}^{4} )} = \frac{9x {}^{8} }{y {}^{4 \times 2} } = \frac{9x {}^{8} }{y {}^{8} }$