\(\frac{5^{10}.7^3-25^4.7^4}{\left(5^3.7\right)^3+125^3.14^3}\)

\(=\frac{5^{10}.7^3-\left(5^2\right)^4.7^4}{5^9.7^3+\left(5^3\right)^3.\left(7.2\right)^3}\)

\(=\frac{5^{10}.7^3-5^8.7^4}{5^9.7^3+5^9.7^3.2^3}\)

\(=\frac{5^8.7^3\left(5^2-7\right)}{5^9.7^3\left(1+2^3\right)}\)

\(=\frac{18}{5.9}\)

\(=\frac{2}{5}\)

hok tốt!!

\(\frac{\left(5^4-5^3\right)}{125^4}-\frac{64}{125}\)

\(=\frac{\left(625-125\right)}{500}-\frac{64}{125}\)

\(=\frac{500}{500}-\frac{64}{125}\)

\(=0-0,51\)

\(=-0,51\)

bạn tách 125³.7⁵=5⁹.7⁵
                   175⁵:5=--------
       Do đó biếu thức trên = 0
 

=0 nha pạn

nhìn ai chả bt bằng 0 nhưng giải thế nào

\(\frac{7256.4375-725}{4375.7255+3650}=\frac{\left(7255+1\right).4375-725}{4375.7255+3650}=\frac{7255.4375+4375-725}{7255.4375+3650}=\frac{7255.4375+3650}{7255.4375+3650}=1\)

\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}\left(11+5\right)}{3^9.2^4}=\frac{3.16}{16}=3\)

\(\frac{2^{10}.13+2^{10}.65}{2^8.104}=\frac{2^{10}\left(13+65\right)}{2^8.104}=\frac{2^2.78}{26.2^2}=\frac{78}{26}=3\)

\(\left(125^3.7^5-175^5.5\right):2001^{2002}\) ( bạn xem lại đề xem sai đâu ko nhé )

Để Thiên giải câu 3 cho:

(125³.7⁵ -175⁵;5):2001²⁰⁰¹

\(=\left[\left(5^3\right)^3.7^5-175^5:5\right]:2001^{2002}\)

\(=\left(5^9.7^5-175:5\right):2001^{2002}\)

\(=\left(5^5.5^4.7^4.7-175^4.175:5\right):2001^{2002}\)

\(=\left(5^5.35^4.7-175^4.35\right):2001^{2002}\)

\(=\left(5^4.35^4.5.7-175^4.35\right):2001^{2002}\)

\(=\left(175^4.35-175^4.35\right):2001^{2002}\)

\(=0:2001^{2002}\)

\(=0\)

a) 8

​b) 0

a) \(\frac{16\cdot64\cdot8^2}{4^3\cdot2^5\cdot16}=\frac{2^6\cdot2^6}{2^6\cdot2^5}=2\)