Viết gọn
a) 2.4.16.8
b) 33.225245
c) 9.27.81
d) 36.30.125
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a)2.16.8.4.32
=2^1.2^4.2^3.2^2.2^5
=2^15
b)9.27.81.729
=3^2.3^3.3^4.3^6
=3^15
c)3^3.225.45
=3^3.45.5.45
=3^3.45^2.5
d)36.30.125
=6^2.6.5.5^3
=6^3.5^4
a. 2. 16 . 8 . 4 . 32
= 2 .2 .8 .8 .4 . 4 .8
= \(^{2^2}\). \(8^3\). \(^{4^2}\)
\(a,2.2^2.2^4.2^3=2^{10}\)
\(b,3^3.3^2.5^2.3^2.5=3^7.5^3\)
\(c,3^2.3^3.3^4=3^9\)
\(d,3^2.2^2.2.3.5.5^3=2^3.3^3.5^4\)
a)
2 . 4. 16.8
= 2 . 4 .4 . 4 . 2 . 4
= 22 . 44
b) 33 . 225 . 45
= 33 . 45 . 5 . 45
= 33. 452. 5
Ps :Mấy câu sao giống zậy!
^^ Cbht!!!
\(\left(3x^3y^2-9x^2y^2+15xy^3\right):3xy^2\)
\(=3x^3y^2:3xy^2-9x^2y^2:3xy^2+15xy^3:3xy^2\)
\(=\left(3:3\right)\cdot x^{3-1}\cdot y^{2-2}-\left(9:3\right)\cdot x^{2-1}\cdot y^{2-2}+\left(15:3\right)\cdot x^{1-1}\cdot y^{3-2}\)
\(=x^2-3x+5y\)
TH1: x>=5/3
A=3x-5+4x-6=7x-11
TH2: 3/5<x<5/3
A=5-3x+4x-6=x-1
\(3^3.225.45=3^3.25.9.5.9=3^3.5^2.3^2.5.3^2=3^7.5^3\)
\(36.30.125=6^2.5.6.5^3=6^3.5^4\)
\(a.a^5:a^2=a^6:a^2=a^4\)
\(a^8:a^6.a^2=a^2.a^2=a^4\)
\(a^2+a^4:a^2=a^2+a^2=2.a^2\)
Bài 1:
a.
\(\frac{1}{2\sqrt{2}-3\sqrt{3}}=\frac{2\sqrt{2}+3\sqrt{3}}{(2\sqrt{2}-3\sqrt{3})(2\sqrt{2}+3\sqrt{3})}=\frac{2\sqrt{2}+3\sqrt{3}}{(2\sqrt{2})^2-(3\sqrt{3})^2}=\frac{2\sqrt{2}+3\sqrt{3}}{-19}\)
b.
\(=\sqrt{\frac{(3-\sqrt{5})^2}{(3-\sqrt{5})(3+\sqrt{5})}}=\sqrt{\frac{(3-\sqrt{5})^2}{3^2-5}}=\sqrt{\frac{(3-\sqrt{5})^2}{4}}=\sqrt{(\frac{3-\sqrt{5}}{2})^2}=|\frac{3-\sqrt{5}}{2}|=\frac{3-\sqrt{5}}{2}\)
Bài 2.
a.
\(=\frac{\sqrt{8}(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})}=\frac{2\sqrt{2}(\sqrt{5}+\sqrt{3})}{5-3}=\sqrt{2}(\sqrt{5}+\sqrt{3})=\sqrt{10}+\sqrt{6}\)
b.
\(=\sqrt{\frac{(2-\sqrt{3})^2}{(2-\sqrt{3})(2+\sqrt{3})}}=\sqrt{\frac{(2-\sqrt{3})^2}{2^2-3}}=\sqrt{(2-\sqrt{3})^2}=|2-\sqrt{3}|=2-\sqrt{3}\)
a)2x2x2x2x2x2x2x2x2x2=2\(^{10}\)
b)
c) 3x3x3x3x3x3x3x3x3=3\(^9\)
d)