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5^4*20^4/25^5*45=5^4 *5^4*4^4/25^4*25*45=4^4/25*45=256/1125
ta có : (ghi lại đề)
=6+12+18+24+30/3+6+9+12+15
=2*(3/3+6/6+9/9+12/12+15/15)
=2*(1+1+1+1+1)
=2*5=10
chúc main học tốt nhé
a) 169/196
b) 1/144
c) \(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
d) -2506/3
a)4/5.(7/2+1/4)mũ 2
=4/5.(15/4)mũ 2
=4/5.225/16
=45/4
ý b bạn viết sai đề bài rồi hay sao ý
b) 5 mũ 4. 20 mũ 4/ 25 mũ 5. 4 mũ 5
=(5.20) mũ 4/ (25.4) mũ 5
=100 mũ 4/ 100 mũ 5
=100 mũ 4 : 100 mũ 5
=0,01
#CHÚC BẠN HỌC TỐT, CÓ GÌ KO HIỂU THÌ KẾT BẠN VÀ NHẮN TIN MIK NHA
\(\dfrac{5^4.20^4}{25^5.4^5}=\dfrac{5^4.\left(4.5\right)^4}{\left(5^2\right)^5.4^5}=\dfrac{5^5.5^4.4^4}{5^{10}.4^5}=\dfrac{1}{4.5}=\dfrac{1}{20}\)
a,\(\left(\dfrac{3}{7}+\dfrac{1}{2}\right)^2\)
\(=\left(\dfrac{13}{14}\right)^2\)
\(=\dfrac{169}{196}\)
b,\(\left(\dfrac{3}{4}-\dfrac{5}{6}\right)^2\)
\(=\left(\dfrac{-1}{12}\right)^2\)
\(=\dfrac{1}{144}\)
c,\(\dfrac{5^4.20^4}{25^5.4^5}\)
\(=\dfrac{100^4}{100^5}\)
\(=\dfrac{1}{100}\)
d,\(\left(\dfrac{-10}{3}\right)^5.\left(\dfrac{-6}{5}\right)^4\)
\(=\left(\dfrac{-10}{3}\right)^4.\left(\dfrac{-6}{5}\right)^4.\left(\dfrac{-10}{3}\right)\)
\(=\left(\dfrac{\left(-10\right)}{3}.\dfrac{\left(-6\right)}{5}\right)^4.\left(\dfrac{-10}{3}\right)\)
\(=4^4.\left(\dfrac{-10}{3}\right)\)
\(=256.\left(\dfrac{-10}{3}\right)\)
\(=\dfrac{-2560}{3}\)
\(2^5\).\(9^5\).\(2^8\).\(9^8\)
=(\(2^5\).\(2^8\)).(\(9^5\).\(9^8\))
=\(^{2^{13}}\).\(9^{13}\)
=\(^{2.9^{13}}\)
=\(18^{13}\)
Ta có:
\(\frac{5^5.20^4}{25^5.4^5}=\frac{5^5.5^4.4^4}{5^{10}.4^5}=\frac{5^9.4^4}{5^{10}.4^5}=\frac{1}{5.4}=\frac{1}{20}\)
\(\frac{5^5.20^4}{25^5.4^5}=\frac{5^5.\left(5.2^2\right)^4}{\left(5^2\right)^5.\left(2^2\right)^5}=\frac{5^5.5^4.2^8}{5^{10}.2^{10}}=\frac{5^9.2^8}{5^{10}.2^{10}}=\frac{1}{5.2^2}=\frac{1}{5.4}=\frac{1}{20}.\)
Chúc bạn học tốt!