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Tính:
a) \(\dfrac{5^{15}.7^{14}}{5^{16}.7^{16}}\)=\(\dfrac{1}{5.7^2}\)=\(\dfrac{1}{5.49}\)=\(\dfrac{1}{245}\)
b)\(\dfrac{3^{12}.7^{13}}{3^{10}.7^{11}}\)=\(\dfrac{3^2.7^2}{1}\)=\(\dfrac{9.49}{1}\)=\(\dfrac{441}{1}\)
c)\(\dfrac{8^{10}.3^{15}}{9^8.2^{83}}\)=\(\dfrac{\left(2^3\right)^{10}.3^{15}}{\left(3^2\right)^8.2^{83}}\)=\(\dfrac{2^{30}.3^{15}}{3^{16}.2^{83}}\)=\(\dfrac{1}{3.2^{53}}\)= bài c) hình như bị lỗi rồi
não mình úng nước rồi, không biết làm d), e) và f)
Tìm x:
a) x - \(\dfrac{1}{2}\)=\(\dfrac{3}{4}\)
x =\(\dfrac{3}{4}\)+\(\dfrac{1}{2}\)
x = \(\dfrac{3}{4}+\dfrac{2}{4}\)
x = \(\dfrac{5}{4}\)
b)\(\dfrac{1}{7}\) - x = \(-\dfrac{5}{6}\)
- x = \(-\dfrac{5}{6}\)\(-\dfrac{1}{7}\)
- x = \(-\dfrac{35}{42}-\dfrac{6}{42}\)
- x = \(-\dfrac{41}{42}\)
x = \(\dfrac{41}{42}\)
c) - x + \(\dfrac{1}{2}\) = \(-\dfrac{10}{11}\)
-x = \(-\dfrac{10}{11}-\dfrac{1}{2}\)
- x = \(-\dfrac{20}{22}-\dfrac{11}{22}\)
- x = \(-\dfrac{31}{22}\)
x = \(\dfrac{31}{22}\)
d) - x \(-\dfrac{3}{4}\) = \(-\dfrac{7}{5}\)
- x = \(-\dfrac{7}{5}+\dfrac{3}{4}\)
- x = \(-\dfrac{28}{20}+\dfrac{15}{20}\)
- x = \(-\dfrac{13}{20}\)
x = \(\dfrac{13}{20}\)
a: \(=\dfrac{-14}{7}+\dfrac{4}{2}=-2+2=0\)
b: \(=\dfrac{1}{7}+\dfrac{6}{7}\cdot\dfrac{1}{6}=\dfrac{1}{7}+\dfrac{1}{7}=\dfrac{2}{7}\)
a: \(=\dfrac{-14}{7}+\dfrac{4}{2}=-2+2=0\)
b: \(=\dfrac{1}{7}+\dfrac{6}{7}\cdot\dfrac{1}{6}=\dfrac{1}{7}+\dfrac{1}{7}=\dfrac{2}{7}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-3^{20}\cdot2^{29}}{5\cdot2^{29}\cdot3^{32}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}{2^{29}\cdot3^{18}\left(5\cdot3^{14}-7\right)}=\dfrac{1}{5\cdot3^{14}-7}\)
cái này giờ mình phải đi học nên chưa giải hộ bạn được
đợi tối mình giải cho
Bài 15:
a, Không phải. Vì 2+3<6.
b, Không phải. Vì 2+4=6.
c,Phải. Vì 3+4=6.
\(S=\dfrac{1}{2}-\dfrac{1}{6}-\dfrac{1}{12}-...-\dfrac{1}{9900}\)
\(=\dfrac{1}{2}-\left(\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{9900}\right)\)
\(=\dfrac{1}{2}-\left(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{99\cdot100}\right)\)
\(=\dfrac{1}{2}-\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)\)
\(=\dfrac{1}{2}-\left(\dfrac{1}{2}-\dfrac{1}{100}\right)\)
\(=\dfrac{1}{2}-\dfrac{1}{2}+\dfrac{1}{100}=\dfrac{1}{100}\)
Bài 1.
a.
\(A=\frac{5}{4}(-8).(x^2.x)(y^2.y^2)=-10x^3y^4\)
b. $A=-10.1^3.(-1)^4=-10$
2.
\(B=\frac{15}{2}(\frac{1}{3})^2-\frac{5}{2}(\frac{1}{3})=0\)
Bài 2:
a.
$f(x)=(5x^3-2x^3)+(x^2+3x^2)-2x-3$
$=3x^3+3x^2-2x-3$
$g(x)=(2x^4-2x^4)+(-5x^3+7x^3)+(6x-4x)-1$
$=2x^3+2x-1$
b.
$f(x)+g(x)=(3x^3+3x^2-2x-3)+(2x^3+2x-1)$
$=5x^3+3x^2-4$
c.
$f(x)-g(x)=(3x^3+3x^2-2x-3)-(2x^3+2x-1)$
$=x^3+3x^2-4x-2$