\(9.3^7:3^6=9.3=27\)

\(9\cdot3^7:3^6=3^2\cdot3^7:3^6=3^{2+7-6}=3^3=27\)

\(3^8.9^2=3^8.\left(3^2\right)^2=3^8.3^4=3^{8+4}=3^{12}\)

Lần sau nên chọn đúng môn.

\(7^5:\left(7\cdot7^2\right)=7^5:7^3=7^{5-3}=7^2=49\)

Kq = 49

Ko biết 

\(B\left(9\right)=\left\{0;9;18;27;36;45;...\right\}\)

\(B\left(12\right)=\left\{12;24;36;48;60;72;84;96\right\}\)

\(B\left(4\right)=\left\{0;4;8;12;16;20;24;28;32;36;40;44;48\right\}\)

a) 0;9;18;27;36;45

b) 12;24;36;48;60;72;84;96

c) 0;4;8;12;...;48

Bài 1 :

\(...\Rightarrow A=\dfrac{\sqrt[]{x}\left(\sqrt[]{x}+2\right)+\left(\sqrt[]{x}-1\right)\left(\sqrt[]{x}-2\right)}{\left(\sqrt[]{x}-2\right)\left(\sqrt[]{x}+2\right)}-\dfrac{\sqrt[]{x}-10}{x-4}\)

\(\Rightarrow A=\dfrac{x+2\sqrt[]{x}+x-3\sqrt[]{x}+2}{x-4}-\dfrac{\sqrt[]{x}-10}{x-4}\)

\(\Rightarrow A=\dfrac{2x-\sqrt[]{x}+2-\sqrt[]{x}+10}{x-4}\)

\(\Rightarrow A=\dfrac{2x-2\sqrt[]{x}+12}{x-4}=\dfrac{2\left(x-\sqrt[]{x}+6\right)}{x-4}\)

\(\dfrac{\left(0,15\right)^4}{\left(0,5\right)^5}=\left(\dfrac{0,15}{0,5}\right)^4.\dfrac{1}{0,5}=\left(\dfrac{3}{10}\right)^4.2=\dfrac{81}{10000}.2=\dfrac{81}{5000}\)

KQ = 81/5000

Khi vẽ 30 đường thẳng phân biệt qua điểm O, chúng ta sẽ tạo ra các góc khác nhau tại các điểm giao nhau. Để tính số cặp góc đối đỉnh, ta có:

Số đường thẳng là 30, nên:

Số cặp góc đối đỉnh = (30) * (30 - 1) / 2 = 30 * 29 / 2 = 435

Vậy có tổng cộng 435 cặp góc đối đỉnh, bao gồm cả góc bẹt.

\(\dfrac{8^2.6^3}{9^2.16^2}=\dfrac{\left(2^3\right)^2.2^3.3^3}{\left(3^2\right)^2.\left(2^4\right)^2}=\dfrac{2^{3.2+3}.3^3}{3^4.2^8}=\dfrac{3^3.2^8.2}{3.3^3.2^8}=\dfrac{2}{3}\\ ---\\ \dfrac{\left(0,15\right)^4}{\left(0,5\right)^5}=\left(\dfrac{0,15}{0,5}\right)^4.\dfrac{1}{0,5}=\left(\dfrac{3}{10}\right)^4.2=\dfrac{81}{10000}.2=\dfrac{81}{5000}\\ ---\\ d,\left(\dfrac{3}{4}\right)^3.\left(\dfrac{16}{9}\right)^3=\left(\dfrac{3}{4}.\dfrac{16}{9}\right)^3=\left(\dfrac{48}{32}\right)^3=\left(\dfrac{3}{2}\right)^3=\dfrac{27}{8}\)

b) \(\dfrac{8^2.6^3}{9^2.16^2}=\dfrac{2^6.2^3.3^3}{3^4.2^8}=\dfrac{2^9.3^3}{3^4.2^8}=\dfrac{2}{3}\)

c) \(\dfrac{\left(0,15\right)^4}{\left(0,5\right)^5}=\dfrac{\left(0,5\right)^4.\left(0,3\right)^4}{\left(0,5\right)^5}=\dfrac{0,3^4}{0,5}\)

d) \(\left(\dfrac{3}{4}\right)^3.\left(\dfrac{16}{9}\right)^3=\dfrac{3^3}{4^3}.\dfrac{4^6}{3^6}=\dfrac{4^3}{3^3}=\left(\dfrac{4}{3}\right)^3\)

Ư(196)={1;2;4;14;49;98;196}

a, Các số là ước 196: 1,4

Ư(100)={1;2;4;5;10;20;25;50;100}

b, các ước có 2 chữ số của 100: 10;20;25;50

c, Ư(24)={1;2;3;4;6;8;12;24}

Ư(48)={1;2;3;4;6;8;12;16;24;48}

Ư(30)={1;2;3;5;6;10;15;30}

a, \(1,4,7\inƯ\left(196\right)\)

b, \(Ư\left(100\right)=\left\{1;2;4;5;10;12;20;50;100\right\};\)

Vậy Ư(100) có 2 chữ số là: \(10;12;50;100\)

c, \(24=2^3.3\)

    \(48=2^4.3\\ 30=2.3.5\)

\(\RightarrowƯCLN\left(24,48,30\right)=2.3=6\\ \RightarrowƯC\left(24;48;30\right)=Ư\left(6\right)=\left\{1;2;3;6\right\}\)