tinh
a/\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\) b/\(\frac{2^{15}.9^4}{6^4.8^3}\) c/\(\frac{45^{10}.5^{20}}{75^{15}}\)
Tìm giá trị của các biểu thức sau:
a)\(\frac{45^{10}.5^{20}}{75^{15}}\)
b)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
c)\(\frac{2^{15}.9^4}{6^6.8^3}\)
a.
\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{\left(3^2\times5\right)^{10}\times5^{20}}{\left(3\times5^2\right)^{15}}=\frac{3^{20}\times5^{10}\times5^{20}}{3^{15}\times5^{30}}=3^5=243\)
b.
\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,8\right)^5}{\left(0,4\right)^5}\times\frac{1}{\left(0,4\right)}=\left(\frac{0,8}{0,4}\right)^5\times\frac{1}{\frac{4}{10}}=2^5\times\frac{5}{2}=2^4\times5=16\times5=80\)
c.
\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{\left(2\times3\right)^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^8}{2^6\times3^6\times2^9}=3^2=9\)
Chúc bạn học tốt ^^
Tính :
a)\(\frac{45^{10}.5^{20}}{75^{15}}\)
b)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
c)\(\frac{2^{15}.9^4}{6^6.8^3}\)
Help me!!!
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)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{15^{10}.3^{10}.5^{20}}{5^{15}.15^{15}}=\frac{3^{10}.5^5}{15^5}=\frac{3^{10}.5^5}{5^5.3^5}=3^5\)
\(\frac{45^{10}\cdot5^{20}}{75^{15}}=\frac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(5^2\cdot3\right)^{15}}\)
=\(\frac{3^{20}\cdot5^{10}\cdot5^{20}}{5^{30}\cdot3^{15}}=\frac{3^{20}\cdot5^{30}}{5^{30}\cdot3^{15}}=3^5=243\)
k cho ah nha
a,\(\frac{45^{10}.5^{10}}{75^{10}}\) b,\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\) c,\(\frac{2^{15}.9^4}{6^6.8^3}\) d,\(\frac{15^{30}}{45^{15}}\)
tìm giá trị biểu thức
\(\frac{45^{10}.5^{20}}{75^{15}}\)
\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
\(\frac{2^{15}.9^4}{6^6.8^3}\)
giúp mình vs nha
tớ cũng đang học cái đấy nè
225^10
a = _________ = 3^10
75^10
2^15 * 3^8 2^15 * 3^8
c= _____________= -------------------- =2^3 * 3^5
2^3 * 3^3 * 2^9 2^12 * 3^3
a)\(\frac{45^{10}.5^{10}}{75^{10}}\)
b)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
c)\(\frac{2^{15}.9^4}{6^3.8^3}\)
d)\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
tính giá trị biểu thức:
\(A=\left[\frac{\left(0,8\right)^5}{\left(0,4\right)^6}+\frac{2^{15}.9^4}{6^6.8^3}\right]:\frac{45^{10}.5^{20}}{75^{15}}\) \(B=\frac{1}{1-\frac{1}{1-2^{-1}}}+\frac{1}{1+\frac{1}{1+2^{-1}}}\)
Tìm giá trị của các biểu thức sau:
a) A = \(\frac{45^{10}.5^{10}}{75^{10}}\)
b) B = \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
c) C = \(\frac{2^{15}.9^4}{6^6.8^3}\)
a) A = \(\frac{45^{10}.5^{10}}{75^{10}}=\frac{\left(5.3^2\right)^{10}.5^{10}}{\left(5^2.3\right)^{10}}=\frac{5^{10}.3^{20}.5^{10}}{5^{20}.3^{10}}=\frac{5^{20}.3^{10}}{5^{20}}=3^{10}=59049\)
b) B = \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,2.2^2\right)^5}{\left(0,2.2\right)^6}=\frac{\left(0,2\right)^5.2^{10}}{\left(0,2\right)^6.2^6}=\frac{2^4}{0,2}=\frac{16}{0,2}=80\)
c) C = \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)
\(A=\frac{\left(9^{10}×5^{10}×5^{10}\right)}{\left(25^{10}×3^{10}\right)}\)
\(A=\frac{\left(3^{20}×5^{20}\right)}{\left(5^{20}×3^{10}\right)}\)
\(A=\frac{3^{20}}{3^{10}}\)
\(A=3^{10}\)
\(1.\)Tính
\(a)\frac{120^3}{40^3};\frac{390^4}{130^4};\frac{3^2}{0,375^2}\)
\(2.\)Tính giá trị các biểu thức sau :
\(a)\frac{45^{10}.5^{20}}{75^{15}}\) ; \(b)\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\) ; \(c)\frac{2^{15}.9^4}{6^6.8^3}\)
1. sai dấu nhé
2.a, \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5=243\)
b, \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(\frac{4}{5}\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\cdot2\right)^5}{\left(\frac{2}{5}\right)^6}=\frac{\left(\frac{2}{5}\right)^5\cdot2^5}{\left(\frac{2}{5}\right)^5\cdot\frac{2}{5}}=2^5\div\frac{2}{5}=32\cdot\frac{5}{2}=80\)
c, \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)
các bạn giúp mình với. thank ạ
a) \(\frac{45^{10}.5^{20}}{75^{15}}\)
b) \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
c) \(\frac{2^{15}.9^4}{6^6.8^3}\)
Bạn nào làm rõ ràng và nhanh nhất mình tick cho nha
a) \(\frac{45^{10}.5^{20}}{75^{15}}\)
=
\(\frac{\left(5.9\right)^{10}.5^{20}}{\left(5.15\right)^{15}}\)
= \(\frac{5^{10}.9^{10}.5^{20}}{5^{15}.15^{15}}\)
= \(\frac{5^{10}.3^{20}.5^{20}}{5^{15}.15^{15}}\)
= \(\frac{5^{10}.15^{20}}{5^{15}.15^{15}}\)
= \(\frac{15^5}{5^5}\)
= \(\frac{3^5.5^5}{5^5}\)
= \(3^5\)
b) \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
= \(\frac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}\)
= \(\frac{2^5}{0,4}\)
= \(2^5\) : 0,4
(=) 32 : \(\frac{2}{5}\)
= 90
c) \(\frac{2^{15}.9^4}{6^6.8^3}\)
= \(\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}\)
= \(\frac{2^{15}.3^8}{2^6.3^6.2^9}\)
= \(3^2\)