(22:0,1/1,5*2+0,25*4/5,6:2,8)-(1/2)tất cả mũ 2
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\(D=\) \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right).2}\)
\(=\) \(\frac{11.3^{22+7}-\left(3^2\right)^{15}}{2^2.\left(3^{14}\right)^2}\)
\(=\) \(\frac{11.3^{29}-3^{30}}{4.3^{28}}\)
\(=\) \(\frac{11.3^{29}-3^{29}.3}{4.3^{28}}\)
\(=\) \(\frac{3^{29}\left(11-3\right)}{3^{28}.4}\)
\(=\) \(\frac{3^{28}.3.8}{3^{28}.4}\)
\(=\) \(\frac{3^{28}.3.4.2}{3^{28}.4}\)
\(=\) \(6\)
Chúc bn hok tốt ~
\(D=\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right).2}\)
\(=\frac{11.3^{22+7}-\left(3^2\right)^{15}}{2^2.\left(3^{14}\right)^2}\)
\(=\frac{11.3^{29}-3^{30}}{4.3^{28}}\)
\(=\frac{11.3^{29}-3^{29}.3}{4.3^{28}}\)
\(=\frac{3^{29}\left(11-3\right)}{3^{28}.4}\)
\(=\frac{3^{28}.3.8}{3^{28}.4}\)
\(=\frac{3^{28}.3.4.2}{3^{28}.4}=6\)
Lũy thừa | \({\left( {\frac{{ - 3}}{2}} \right)^4}\) | \({\left( {0,1} \right)^3}\) | \({\left( {1,5} \right)^2}\) | \({\left( {\frac{1}{3}} \right)^4}\) | \({2^0}\) |
Cơ số | \(\frac{{ - 3}}{2}\) | \(0,1\) | 1,5 | \(\frac{1}{3}\) | 2 |
Số mũ | 4 | \(3\) | 2 | 4 | 0 |
Giá trị lũy thừa | \(\frac{{81}}{{16}}\) | \(0,001\) | \(2,25\) | \(\frac{1}{{81}}\) | 1 |
a) \(210:x=2,1:0,25=8,4\)
\(x=210:8,4=25\)
b) \(x.2+x.0,5=6,25\)
\(2,5x=6,25\)
\(x=6,25:2,5=2,5\)
c) \(x:0,25-x=15,6\)
\(3x=15,6\)
\(x=5,2\)
d) \(x:12,5=3,75.4=15\)
\(x=15.12,5=187,5\)
e) \(x.12,6-x.5,6=42\)
\(7x=42\)
\(x=6\)
g) \(x:0,1-x:4-x.0,75=2,25\)
\(10x-\dfrac{x}{4}-\dfrac{3x}{4}=2,25\)
\(9x=2,25\)
\(x=0,25\)
5,6 x 4 + 5,6 x 3 + 5,6 x 2 + 2,8 + 2,8
= 5,6 x 4 + 5,6 x 3 + 5,6 x 2 + 5,6
= 5,6x(4+3+2+1)
=5,6 x 10
=56
Tick mik nha!!
\(5,6\times4+5,6\times3+5,6\times2+2,8+2,8\)
\(=5,6\times4+5,6\times3+5,6\times2+5,6\)
\(=5,6\times\left(4+3+2+1\right)\)
\(=5,6\times10=56\)
a.(3^2+4^2).x=10^2
(9+16).x =100
25.x =100
x =100:25
x =4
b.(x-5)^2 =81
x-5 =9
x =9+5
x =14
c.(2x+1)^3 = 343
2x+1 = 7
2x =7-1
2x =6
x =6:2
x = 3
\(\left(\frac{3}{4}\right)^3:\left(\frac{3}{4}\right)^2:\left(\frac{2}{3}\right)^3=\frac{3}{4}.\frac{27}{8}=\frac{81}{32}\)
\(\left(22:\frac{0,1}{1,5}.2+0,25.\frac{4}{5,6}:2,8\right)-\left(\frac{1}{2}\right)^2\)
= \(\left(22:\frac{1}{15}.2+\frac{1}{4}.\frac{5}{7}:\frac{14}{5}\right)-\frac{1}{4}\)
= \(\left(22.15.2+\frac{1}{4}.\frac{5}{7}.\frac{14}{5}\right)-\frac{1}{4}\)
=\(\left(660+\frac{1.5.14}{4.7.5}\right)-\frac{1}{4}\)
= \(\left(660+\frac{1}{2}\right)-\frac{1}{4}\)
= \(\left(\frac{1320+1}{2}\right)-\frac{1}{4}\)
=\(\frac{1321}{2}-\frac{1}{4}\)
=\(\frac{2642-1}{4}\)
=\(\frac{2641}{4}\)
= 660,25