упростите выражение (a-³/3в-⁴)-³·a¹⁰в². Created by nurmashevaasel. geometriya-ru

3в-⁴)-³·a¹⁰в²...

ReMiDa

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Ответ:

27а¹⁹в⁻¹⁰

Объяснение:

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OblivionFire

$\displaystyle\bf\bigg(\frac{a^{-3}}{3\cdot b^{-4}}\bigg)^{-3}\cdot a^{10}\cdot b^2=\bigg(\frac{3\cdot b^{-4}}{a^{-3}}\bigg)^3\cdot a^{10}\cdot b^2=\dfrac{\bigg(3\cdot b^{-4}\bigg)^3 }{\bigg(a^{-3}\bigg)^3 } \cdot a^{10} \cdot b^2=\frac{27\cdot b^{-12} }{a^{-9} } \cdot a^{10} \cdot b^2=27b^{-12} a^{10-(-9)} \cdot b^2=27b^{-12} a^{10+9} =27b^{-12} a^{19} \cdot b^2=27b^{-12+2} a^{19} =27b^{-10}\cdot a^{19} =27\cdot \frac{1}{b^{10} } \cdot a^{19} =\boxed{\bf\frac{27a^{19} }{b^{10} } } .$

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