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\(\frac{45^3.20^4.18^2}{180^5}=\frac{\left(3^2.5\right)^3.\left(2^2x5\right)^4.\left(2x3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
\(=\frac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)\(=\frac{3^{10}.5^7.2^{10}}{2^{10}.3^{10}.5^5}=\frac{5^7}{5^5}=5^2\)
4.52-3.23+65:63
=4.25-3.8+62
=4.25-3.2.4+36
=4.(25-3.2)+36
=4.19+36
=76+36
=112
\(C=\frac{21^2.14.125}{35^3.6}\)
\(C=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^3.2.3}\)
\(C=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)
\(C=\frac{3^2.7^3.2.5^3}{5^3.7^3.2.3}=3\)
\(D=\frac{45^3.20^4.18^2}{180^5}\)
\(D=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
\(D=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)
\(D=\frac{5^7.3^{10}.2^{10}}{2^{10}.3^{10}.5^5}=5^2=25\)
4 . 24 . 5 ^ 2 - ( 3 ^ 3 . 18 + 3 ^ 3 . 12 )
= 4 . 24 . 25 - ( 9 . 18 + 9 . 12 )
= ( 4 . 25 ) . 24 - 9 . ( 18 + 12 )
= 100 . 24 - 9 . 30
= 2400 - 270
= 2130
\(4.24.5^2-\left(3^3.18+3^3.12\right)\)
=\(24.100-3^3\left(18+12\right)\)
=\(24000-270=23730\)
a)-2003+(-21)+75+2003=(-2003+2003)+(-21)+75=0+(-21)+75=54
b)1152-374-1152+(-65)+374=(1152-1152)+(-374+374)+(-65)=0+0+(-65)=-65
L i k e bạn nha