(5^4-5^3)^3/125^4-64/125
(5^4-5^3/125^4)=64/125
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(54-53)3/1254 - 64/125
Vì sao : (5^4×5^3)^3/125^4=64/125
Mong các bạn giúp mình ạ :<
\(\frac{\left(5^4-5^3\right)}{125^4}-\frac{64}{125}\)
\(\frac{\left(5^4-5^3\right)}{125^4}-\frac{64}{125}\)
\(=\frac{\left(625-125\right)}{500}-\frac{64}{125}\)
\(=\frac{500}{500}-\frac{64}{125}\)
\(=0-0,51\)
\(=-0,51\)
Chứng minh : \(\frac{\left(5^4-5^3\right)^3}{125^4}=\frac{64}{125}\)
Hãy chứng minh
(54-53/1254)3=64/125
`Cmr (5^4-5^3)/125^5=64/25^3
\(\frac{\left(5^4-5^3\right)}{125^5}=\frac{5^3\left(5-1\right)}{5^{15}}=\frac{5^3\times4}{5^{15}}=\frac{4}{5^{12}}<\frac{64}{5^{12}}=\frac{64}{5^6\times25^3}<\frac{64}{25^3}\)
VT<VP. ĐỀ BÀI SAI.
Cmr (5^4-5^3)/125^5=64/25^3
1 + 5/4 + 5/8 + 5/16 + 5/32 + 5/64
3 + 3/5 + 3/25 + 3/125 + 3/512
TRA LOI:
1+5/4+5/8+5/16+5/32+5/64=219/64
3+3/5+3/25+3/125+3/512=3,8