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gorkovadashuta69
@gorkovadashuta69
June 2023
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sanektrulalek
1)
a)x^4*x^2*x^8=x^4+2+8=x^14
б)(-2x)^2*(-2x)^3*(- 2x)^4=(-2x)^2+3+4=(-2x)^9=-512x^9
в)7^9*(7^2)^6:7^19=7^9*7^2*6:7^19=7^9*7^12:7^19=7^12+9:7^19=7^21:7^19=7^21-19=7^2=49
г)16^2*8:2^7=2^8*2^3:2^7=2^11:2^7=2^4=16
2)
а)0,3^5*(0,3^2)^7/0,3^18=0,3^5*0,3^14/0,3^18=0,3^19/0,3^18=0,3
б)26^17/2^16*13^18=13^17*2^17/2^16*13^18=2/13
3)
a)(-b^5)^3(-b^4)^7:b^12=b^15*b^28:b^12=b^43:b^12=b^31
б)x^2*(x^3)^8:x^11/x^13=x^2*x^24:x^11/x^13=x^26:x^11/x^13=x^15/x^13=x^2
4)9m^14n^26=3^2 * m^2*7 * n^2*13 =(3m^7n^13)^2
б)0,125а^15b^6c^21=(0,5a^5b^2c7)^3
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Answers & Comments
a)x^4*x^2*x^8=x^4+2+8=x^14
б)(-2x)^2*(-2x)^3*(- 2x)^4=(-2x)^2+3+4=(-2x)^9=-512x^9
в)7^9*(7^2)^6:7^19=7^9*7^2*6:7^19=7^9*7^12:7^19=7^12+9:7^19=7^21:7^19=7^21-19=7^2=49
г)16^2*8:2^7=2^8*2^3:2^7=2^11:2^7=2^4=16
2)
а)0,3^5*(0,3^2)^7/0,3^18=0,3^5*0,3^14/0,3^18=0,3^19/0,3^18=0,3
б)26^17/2^16*13^18=13^17*2^17/2^16*13^18=2/13
3)
a)(-b^5)^3(-b^4)^7:b^12=b^15*b^28:b^12=b^43:b^12=b^31
б)x^2*(x^3)^8:x^11/x^13=x^2*x^24:x^11/x^13=x^26:x^11/x^13=x^15/x^13=x^2
4)9m^14n^26=3^2 * m^2*7 * n^2*13 =(3m^7n^13)^2
б)0,125а^15b^6c^21=(0,5a^5b^2c7)^3