100

k mik nha

 45⁴x40⁴x18²/180⁶

=45⁴x40⁴x18²/18⁶x10⁶

=45⁴x40⁴/18⁴x10⁶

=45⁴x10⁴x4⁴/18⁴x10⁶

=45⁴x4⁴/18⁴x10²

=15⁴x3⁴x2²x2²/6⁴x3⁴x5²x2²

=15⁴x1x1x2²/6⁴x1x5²x1

=15⁴x2²/6⁴x5²

=5⁴x3⁴x2²/3⁴x2⁴x5²

=5²x1x1/1x2²x1

=5²/2²=25/4

b)\(\dfrac{45^2.40^2.18^2}{180^2}=\dfrac{45^2.4.10.4.10.18.18}{180^2}=\dfrac{45^2.4.4.180.180}{180^{20}}=\dfrac{45^2.16}{ }\)

2^2.5^4.2^12.5^4.2^2.3^4/2^12.5^6.3^12=2^16.5^8.3^4/2^12.5^6.3^12=2^4.5^2/3^8=........

Ta có: \(E=\frac{45^2.20^4.18^2}{180^3}\)

=>  \(E=\frac{\left(3^2.5\right)^2.\left(2^2.5\right)^4.\left(3^2.2\right)^2}{\left(2^2.3^2.5\right)^3}\)

=> E = \(\frac{3^4.5^2.2^8.5^4.3^4.2^2}{2^6.3^6.5^3}\)

=> E = \(\frac{3^8.5^6.2^{10}}{2^6.3^6.5^3}\)

=> E = \(3^2.5^3.2^4=18000\)

= \(\frac{45^2.4^4.5^49^2.2^2}{45^2.5.9.4^3}=4.5^3.9.2^2=18000\)

em zì ơi t.i.c.k a với nhé

Giải giúp em với ạ. Em đang cần gấp. Em cảm ơn ạ

35^2 -(100-89)*13+(6^3:6)*18

ta có tử =45³x20⁴x18²=45x45x45x20x20x20x20x18x18

                                 =45x45x45x4x5x4x5x4x5x4x5x18x18

                                 =(45x4x45x4x45x4)x4x5x5x5x5x18x18

                                 =(180x180x180)x4x5x5x5x5x9x2x9x2

                                 =(180x180x180)x(4x5x9x2x2x5x9)x5x5

                                 =(180x180x180x180x180)x25

                                 =180⁵x25

lại có:180mũ5x25:180mux5=25

H= 45^3.20^4.18^2/ 180^5 = (3^2.5)^3.(2^2.5)^4.(2.3^2)^2/ (2^2.3^2.5)^5 = 3^6.5^3.2^8.5^4.2^2.3^4/ 2^10.3^10.5^5 = 3^10.5^7.2^10/ 2^10.3^10.5^5 = 5^2=25

\(C=\frac{21^2.14.125}{35^3.6}\)

\(C=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^3.2.3}\)

\(C=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)

\(C=\frac{3^2.7^3.2.5^3}{5^3.7^3.2.3}=3\)

\(D=\frac{45^3.20^4.18^2}{180^5}\)

\(D=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)

\(D=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)

\(D=\frac{5^7.3^{10}.2^{10}}{2^{10}.3^{10}.5^5}=5^2=25\)