rút gọn biểu thức \(P=\frac{3^6.54^4-3^{10}.15^3}{27^4.25^3+45^6}+\frac{4}{125}\)
rút gọn A=
\(\frac{3^6.45^4-3^{10}.15^3}{27^4.25^3+45^6}\)
2) rút gọn
\(A=\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
Rút gọn
B = \(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6\times45^4-15^{13}\times5^{-9}}{27^4\times25^3+45^6}\)
\(=\frac{3^6\times\left(3^2\times5\right)^4-\left(3\times5\right)^{13}\times5^{-9}}{\left(3^3\right)^4\times\left(5^2\right)^3+\left(3^2\times5\right)^6}\)
\(=\frac{3^6\times3^8\times5^4-3^{13}\times5^{13}\times5^{-9}}{3^{12}\times5^6+3^{12}\times5^6}\)
\(=\frac{3^{14}\times5^4-3^{13}\times5^4}{3^{12}\times5^6+3^{12}\times5^6}\)
\(=\frac{3^{13}\times5^4\times\left(3-1\right)}{2\times3^{12}\times5^6}\)
\(=\frac{3\times2}{2\times5^2}\)
\(=\frac{3}{25}\)
Bài 1: Tìm x biết: a, |2x+5|-|x+3|=0
Bài 2: Rút gọn:
a,\(\frac{3^6+45^4-15^3.4^5}{27^4.25^3+45^6}\)
b,\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{16}{3}\right)^3:\left(\frac{4}{9}\right)^3}{2^7.5^2+512}\)
2a) \(\frac{3^6+45^4-15^3.4^5}{27^4.25^3+45^6}\)
= \(\frac{3^6+\left(3^2.5\right)^4-\left(3.5\right)^3.\left(2^2\right)^5}{\left(3^3\right)^4.\left(5^2\right)^3+\left(3^2.5\right)^6}\)
= \(\frac{3^6+3^8.5^4-3^3.5^3.4^{10}}{3^{12}.5^6-3^{12}.5^6}=\frac{3^3.\left(3^3+3^5.5^4-5^3.4^{10}\right)}{0}\)(xem lại đề)
b) \(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{16}{3}\right)^3:\left(\frac{4}{9}\right)^3}{2^7.5^2+512}\)
= \(\frac{\left(\frac{2}{5}.5\right)^7+\left(\frac{16}{3}:\frac{4}{9}\right)^3}{2^7.5^2+2^9}\)
= \(\frac{2^7+12^3}{2^7\left(5^2+2^2\right)}\)
= \(\frac{2^7+\left(2^2.3\right)^3}{2^7.29}\)
= \(\frac{2^7+2^6.3^3}{2^7.29}\)
= \(\frac{2^6\left(1+27\right)}{2^7.29}=\frac{28}{2.29}=\frac{14}{29}\)
mk xin lỗi bn nhé...mk vt nhầm đề...mk vt lại nha:
2a,\(\frac{3^6+45^4-15^3.9^5}{27^4.25^3+45^6}\)
Tính:\(\frac{3^6.45^4-3^{10}.15^3}{27^4.25^3+45^6}\)=................
Tính biểu thức sau rồi chuyển thành lũy thừa :
a) 123 : 34 . 64
b) \(\frac{3^6.45^4-15^{13}.5^9}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
Rút gọn biểu thức sau :
1) \(\sqrt{\frac{4}{3}}-\frac{\sqrt{24}}{2\sqrt{2}}+\frac{3}{\sqrt{27}}\)
2) \(4\sqrt{20}-3\sqrt{125}+5\sqrt{45}-15\sqrt{\frac{1}{5}}\)
3) \(\sqrt{343a}+\sqrt{63a}-\sqrt{28a}\left(a\ge0\right)\)
4) \(\left(7\sqrt{48}+3\sqrt{27}-2\sqrt{12}\right):\sqrt{3}\)
Giúp mik vs
a,=0
b,\(5\sqrt{5}\)
c=\(8\sqrt{7a}\)
d,=\(11\sqrt{3}\)