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1.
a/ 1253 : 93 = \(\left(\frac{125}{9}\right)^3\) = \(\frac{1953125}{729}\)
b/ 324. 43 = \(\left(2^5\right)^4.\left(2^2\right)^3\) = \(2^{20}.2^6\) = \(2^{26}\) =67108864
2. \(\left(x+\frac{1}{2}\right)^2=\frac{4}{25}\)
=> \(\left(x+\frac{1}{2}\right)^{ }=\frac{2^2}{5^2}\)
=>\(\left(x+\frac{1}{2}\right)^2=\left(\frac{2}{5}\right)^2\)
=> \(x+\frac{1}{2}=\frac{2}{5}\)
=> \(x=\frac{2}{5}-\frac{1}{2}=\frac{-1}{10}\)
Vậy \(x=\frac{-1}{10}\)
1, 3^4
2, 5^405
3, -20/3
4, 4
KHÔNG BÍT ĐÚNG HAY KO =>HIHIHIHI
\(\dfrac{8^2.125.9^2-32.5^3.81}{20^3.3^4-6^8.5^4}\)
\(=\dfrac{2^6.5^3.3^4-2^5.5^3.3^4}{4^3.5^3.3^4-2^8.3^8.5^4}\)
\(=\dfrac{2^6.5^3.3^4-2^5.5^3.3^4}{2^6.5^3.3^4-2^8.3^8.5^4}\)
\(=\dfrac{2^5.5^3.3^4\left(2-1\right)}{2^6.5^3.3^4\left(1-2^2.3^4.5\right)}\)
\(=\dfrac{2^5.5^3.3^4.1}{2^6.5^3.3^4\left(1-810\right)}\)
\(=\dfrac{1}{2.\left(-809\right)}\)
\(=-\dfrac{1}{1618}\)
4 2 . 25 2 + 32. 125 2 3 . 5 2 = 2 4 .5 4 + 2 5 .5 3 2 3 .5 2 = 2 4 .5 3 5 + 2 2 3 .5 2 = 2.5.7 = 70