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a) Vì \(-45< -16\) nên \(\left(-\dfrac{45}{17}\right)^{15}< \left(\dfrac{-16}{17}\right)^{15}\)
b) Vì \(21< 23\) nên \(\left(-\dfrac{8}{9}\right)^{21}< \left(-\dfrac{8}{9}\right)^{23}\)
c) \(27^{40}=3^{3^{40}}=3^{120}\)
\(64^{60}=8^{2^{60}}=8^{120}\)
Vì \(3< 8\) nên \(3^{120}< 8^{120}\) hay \(27^{40}< 64^{60}\)
\(\frac{\left(-16\right)^3x15^2}{12^3x10^4}\) =\(\frac{-4}{75}\)\(x\)là nhân nha
a) \(\frac{3}{4}+\frac{2}{5}x=\frac{29}{60}\)
\(\frac{2}{5}x=\frac{29}{60}-\frac{3}{4}\)
\(\frac{2}{5}x=\frac{-4}{15}\)
\(x=\frac{-4}{15}:\frac{2}{5}\)
\(x=\frac{-2}{3}\)
b) \(x^4=16\)
\(x^4=2^4\)
\(x=2\)
c) \(\left(x+5\right)^3=-64\)
\(\left(x+5\right)^3=-4^3\)
\(x+5=-4\)
\(x=-4-5\)
\(x=-9\)
d) \(\left(x-\frac{3}{4}\right)^2=0\)
\(\left(x-\frac{3}{4}\right)^2=0^2\)
\(x-\frac{3}{4}=0\)
\(x=0+\frac{3}{4}\)
\(x=\frac{3}{4}\)
e) \(x:8,5=0,69:\left(-1,15\right)\)
\(x:8,5=-0,6\)
\(x=-0,6.8,5\)
\(x=-5,1\)
A.2/5x=29/60-3/4
2/5x=29/60-45/60
2/5x=-4/15
x=-4/15:2/5
x=4/15.5/2
x=-2/3
B. x mũ 4 = 42
-) x=2
C. (x+5) mũ 3 = -4 3
x+5 = -4
X= -4-5
X=-9
D. ( X -3/4)mũ 2=0 mũ 2
X= 0+3/4
X=3/4
E. X:8,5=-0,6
X=-0,6*8,5
X=5,1
a, (-0,2)2 \(\times\) 5 - \(\dfrac{2^{13}\times27^3}{4^6\times9^5}\)
= 0,04 \(\times\) 5 - \(\dfrac{2^{13}\times3^9}{2^{12}\times3^{10}}\)
= 0,2 - \(\dfrac{2}{3}\)
= \(\dfrac{2}{10}\) - \(\dfrac{2}{3}\)
= - \(\dfrac{7}{15}\)
b, \(\dfrac{5^6+2^2.25^3+2^3.125^2}{26.5^6}\)
= \(\dfrac{5^6+4.5^6+8.5^6}{26.5^6}\)
= \(\dfrac{5^6.\left(1+4+8\right)}{26.5^6}\)
= \(\dfrac{1}{2}\)
a: \(=\dfrac{1}{4^3}\cdot32=\dfrac{1}{64}\cdot32=\dfrac{1}{2}\)
b: \(=-\dfrac{1}{64}\cdot80^4=-\dfrac{1}{64}\cdot512000=-8000\)
c: \(=\dfrac{2^6\cdot2^{10}}{3^{30}\cdot3^{30}}=\dfrac{2^{16}}{3^{60}}\)
d: \(=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)
e: \(=\left(\dfrac{3}{5}\right)^{2009}:\left(\dfrac{3}{5}\right)^{2000}=\left(\dfrac{3}{5}\right)^9\)
hãy gọi = các bn nha ,(tại mik mới lớp 4 thui)