tex]...

July 2022 1 7 Report

Упростить выражения:
1) [tex] \frac{ 2x^{-7}* 3x^{5} }{ 6x^{-2} } [/tex]
2)([tex] x^{-1} [/tex] - [tex] 2y^{-3} [/tex]) + [tex] 4x^{-1} [/tex][tex] y^{-3} [/tex]

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DenQ04a 1) Сокращаем, зачёркивая, x^{-2} , x^{5} , 2 и 6 :
$\frac{2x^{-7}*3x^{5}}{6x^{-2}} = \frac{x^{-7}*3x^{7}}{3} = x^{-7}x^{7} = 1$
2)
$(x^{-1}-2y^{-3})+4x^{-1}y^{-3} = \frac{1}{x} - 2*\frac{1}{y^{3}} + 4*\frac{1}{x}*\frac{1}{y^{3}} = \frac{1}{x} - \frac{2}{y^{3}} + \frac{4}{xy^{3}}$
= $\frac{y^{3}-2x+4}{xy^{3}}$

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