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kasimova20001
@kasimova20001
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litanalove
1007. a) (0.25x^-4y^-3)² *(x^-3/4y²)^-3 =(0.25/x^4y^3)² *(1/4y²x^3)^-3 =(0.25²/x^8y^6) *(4y²x^3)^3 =(0.0625 *64y^6x^9) /(x^8y^6) =4x
b) =(b^4/9a^3)^-3 *(3a²/b^3)^-3 =(9a^3/b^4)^3 *(b^3/3a²)^3 =(729a^9/b^12) * (b^9/27a^6) =(729a^9*b^9) /(b^12*27a^6) =27a^3 /b^3
в) =(1/10a^5b²c^4)^-2 * (1/5a^3bc²)² =(10a^5b²c^4)² *(1/10a^6b²c^4) =(100a^10b^4c^8) /(10a^6b²c^4) =10a^4b²c^4
г) (x²/6zy^3)^-3 *(x²/9zy²)² =(6zy^3/x²)^3 *(x^4/81z²y^4) =(216z^3y^9 *x^4) /x^6*81z²y^4) =24zy^5 /9x² =8zy^5 /3x²
1/x^-1 =x^1
x^-1 =1/x^1
значок ^ обозначает в степени
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Answers & Comments
b) =(b^4/9a^3)^-3 *(3a²/b^3)^-3 =(9a^3/b^4)^3 *(b^3/3a²)^3 =(729a^9/b^12) * (b^9/27a^6) =(729a^9*b^9) /(b^12*27a^6) =27a^3 /b^3
в) =(1/10a^5b²c^4)^-2 * (1/5a^3bc²)² =(10a^5b²c^4)² *(1/10a^6b²c^4) =(100a^10b^4c^8) /(10a^6b²c^4) =10a^4b²c^4
г) (x²/6zy^3)^-3 *(x²/9zy²)² =(6zy^3/x²)^3 *(x^4/81z²y^4) =(216z^3y^9 *x^4) /x^6*81z²y^4) =24zy^5 /9x² =8zy^5 /3x²
1/x^-1 =x^1
x^-1 =1/x^1
значок ^ обозначает в степени