a) (0.8)^5:(0,4)^6

   =(0,4)^10:(0,4)^6

   = (0,4)^4

b)  (0,125)^3*512

   = 1

c)45^10*5^20/75^15

=243

d) 2^15*9^4/6^6*8^3

=2359296

nhận đúng cho mk nha

a)\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{5^{10}.3^{20}.5^{20}}{3^{15}.5^{30}}=\dfrac{5^{30}.3^{20}}{3^{15}.5^{30}}=3^5\)

Các câu sau tương tự

a) 45^10.5^20/75 ^ 15

=(5.9)^10.5^20/(5.15)^15

=5^10.9^10.5^20/5^15.15^15

=5^30.3^20/5^15.3^15.5^15

=5^30.3^20/5^30.3^15

=5^30.3^20/5^30.3^15

=3^5

=243

c. 2¹⁵. 9⁴/ 6⁶. 8³ = 2¹⁵. (3²)⁴/( 2.3 )⁶. (2³)³

                         = 2¹⁵. 3⁸/ 2⁶.3⁶.2⁹

                         = 3²=9

=\(\left[\dfrac{\left(0,4.2\right)^5}{\left(0,4\right)^6}+\dfrac{2^9.2^6.3^8}{\left(3.2\right)^6.2^9}\right]=\left[\dfrac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}+\dfrac{2^6.3^8}{3^6.2^6}\right]\)

=\(\left[\dfrac{2^5}{0,4}+3^2\right]\)

=\(\left[80+9\right]=89\)

\(\left[\dfrac{\left(2.0,4\right)^5}{0,4,0,4^5}+\dfrac{2^{15}.3^8}{3^6.2^6.2^9}\right]\div\dfrac{3^{20}.5^{30}}{3^{15}.5^{30}}\)

\(=\left[\dfrac{2^5.0.4^5}{0,4.0,4^5}+\dfrac{2^{15}.3^8}{3^6.2^{15}}\right]\div3^5\)

\(=\left[\dfrac{2^5}{0,4}+3^2\right]\div243\)

\(=80+\left(3^5\div3^2\right)\)

\(=80+3^3\)

\(=80+27\)

\(=107\)

b)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(2.0,4\right)^5}{\left(0,4\right)^6}=\frac{2^5.\left(0,4\right)^5}{\left(0,4\right)^6}=\frac{2^5}{0,4}=\frac{2^5}{\frac{2}{5}}=\frac{2^4}{5}=\frac{16}{5}\)

c)\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^{12}}{3^6.2^6.2^9}=3^6\)

a)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{15^{10}.3^{10}.5^{20}}{5^{15}.15^{15}}=\frac{3^{10}.5^5}{15^5}=\frac{3^{10}.5^5}{5^5.3^5}=3^5\)

Thanks bn!!

\(\frac{45^{10}\cdot5^{20}}{75^{15}}=\frac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(5^2\cdot3\right)^{15}}\)  

=\(\frac{3^{20}\cdot5^{10}\cdot5^{20}}{5^{30}\cdot3^{15}}=\frac{3^{20}\cdot5^{30}}{5^{30}\cdot3^{15}}=3^5=243\)  

k cho ah nha

b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

\(=\dfrac{\left(0,8\right)^5}{\left(0.4\right)^5\cdot0,4}\)

\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}\)

\(=2^5\cdot\dfrac{5}{2}\)

\(=\dfrac{2^5\cdot5}{2}\)

\(=2^4\cdot5\)

\(=80\)

c) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}\)

\(=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)

\(=\dfrac{2^{15}\cdot3^8}{2^{15}\cdot3^6}\)

\(=\dfrac{3^2}{1}\)

\(=9\)

c) 2^15.9^466.83=2^15.3^8/2^6.3^6.2^9=3^2/1=9

dấu này / là phần  nha