giúp mik zơi, ai nhanks mik tick
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(-3.15)*(-7.2)+(3.15)*12.4+4.8.(-3.15)
= ( -3,15 ) . ( -7,2 ) + ( -3,15 ) . ( -12,4 ) + 4,8 . ( -3,15 )
= ( -3,15 ) . [ ( -7,2 ) + ( -12,4 ) + 4,8 ]
= ( -3,15 ) . ( -14,8 )
= 46,62
a) Ta có :\(\left(\frac{-1}{5}\right)^{300}=\frac{-1^{300}}{5^{300}}=\frac{1}{125^{100}}\)
\(\left(\frac{-1}{3}\right)^{500}=\frac{-1^{500}}{3^{500}}=\frac{1}{243^{100}}\)
Mà \(\frac{1}{125^{100}}>\frac{1}{243^{100}}\)
\(\Rightarrow\left(\frac{-1}{5}\right)^{300}>\left(\frac{-1}{3}\right)^{500}\)
b)Ta có :\(2^{90}=\left(2^{15}\right)^6=32768^6\)
\(5^{36}=\left(5^6\right)^6=15625^6\)
Vì \(32768^6>15625^6\Rightarrow2^{90}>5^{36}\)
a.Ta có: \(\left(\frac{-1}{5}\right)^{300}=\left(\frac{-1}{5}^3\right)^{100}=\left(\frac{-1}{125}\right)^{100}=\left(\frac{1}{125}\right)^{100}\)
\(\left(\frac{-1}{3}\right)^{500}=\left(\frac{-1}{3}^5\right)^{100}=\left(\frac{-1}{243}\right)^{100}=\left(\frac{1}{234}\right)^{100}\)
Mà: \(\frac{1}{125}>\frac{1}{234}\Rightarrow\left(\frac{1}{125}\right)^{100}>\left(\frac{1}{234}\right)^{100}\)
Vậy \(\left(\frac{-1}{5}\right)^{300}>\left(\frac{-1}{3}\right)^{500}\)
b.Ta có: \(2^{90}=\left(2^{10}\right)^9=1024^9\)
\(5^{36}=\left(5^4\right)^9=625^9\)
Mặt khác: \(1024>625\Rightarrow1024^9>625^9\)
Vậy \(2^{90}>5^{36}\)
a, Áp dụng t/c dtsbn:
\(\dfrac{a}{b}=\dfrac{c}{d}=\dfrac{a+c}{b+d}\)
b, Áp dụng t/c dtsbn:
\(\dfrac{a}{b}=\dfrac{c}{d}=\dfrac{2021a}{2021b}=\dfrac{2021a-c}{2021b-d}\)
c, Ta có \(\dfrac{a}{b}=\dfrac{c}{d}\Rightarrow\left(\dfrac{a}{b}\right)^2=\left(\dfrac{c}{d}\right)^2\)
Áp dụng t/c dtsbn:
\(\left(\dfrac{a}{b}\right)^2=\left(\dfrac{c}{d}\right)^2=\dfrac{a^2}{b^2}=\dfrac{c^2}{d^2}=\dfrac{a^2+c^2}{b^2+d^2}\)
A\(\frac{7}{15}+\frac{4}{5}=\frac{7}{15}+\frac{12}{15}=\frac{19}{15}\)
B\(\frac{2}{3}-\frac{3}{8}=\frac{16}{24}-\frac{9}{24}=\frac{7}{24}\)
C\(\frac{4}{5}\times\frac{5}{8}=\frac{20}{40}=\frac{1}{2}\)
D\(4:\frac{3}{2}=\frac{4}{1}\times\frac{2}{3}=\frac{8}{3}\)
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- Bạn tham khảo đáp án nhé! Chúc bạn học tốt.
\(\frac{7}{12}+\frac{3}{4}\times\frac{2}{9}=\frac{7}{12}+\frac{6}{36}=\frac{3}{4}\)
a) 9/12 b) 2/9