a) \(\left(\frac{3}{4}\right)^{45}:\left(\frac{9}{6}\right)^{10}\)

\(=\left(\frac{3}{4}\right)^{45}:\left(\frac{3}{4}\right)^{20}\)

\(=\left(\frac{3}{4}\right)^{25}\)

b) \(\frac{125^{100}.2^{160}}{5^{298}.4^{80}}\)

\(=\frac{5^{300}.2^{160}}{5^{298}.2^{160}}\)

\(=5^2=25\)

a) \(\left(\frac{3}{4}\right)^{45}:\left(\frac{9}{6}\right)^{10}\)

\(\Leftrightarrow\frac{\left(\frac{3}{4}\right)^{45}}{\frac{3^{10}}{2^{10}}}=\frac{\frac{3^{45}}{4^{45}}}{\frac{3^{10}}{2^{10}}}=\frac{3^{45}.2^{10}}{4^{45}}=\frac{3^{35}.2^{10}}{2^{90}}=\frac{3^{35}}{2^{80}}\)

\(\Rightarrow\left(\frac{3}{4}\right)^{45}:\left(\frac{9}{6}\right)^{10}=\frac{3^{35}}{2^{80}}\)

125¹⁰⁰.2¹⁶⁰/5²⁹⁸.4⁸⁰

=5³⁰⁰.2¹⁶⁰/5²⁹⁸.2¹⁶⁰

=5²=25

k mik nha

a) \(\frac{125^{100}.2^{160}}{5^{289}.4^{80}}=\frac{\left(5^3\right)^{100}.2^{160}}{5^{289}.\left(2^2\right)^{80}}=\frac{5^{300}.2^{160}}{5^{289}.2^{160}}=5^{300-289}=5^{11}\)

b) \(\frac{9^8.8^8}{3^8.27^3.2^{24}}=\frac{\left(3^2\right)^8.\left(2^3\right)^8}{3^8.\left(3^3\right)^3.2^{24}}=\frac{3^{16}.2^{24}}{3^8.3^9.2^{24}}=\frac{3^{16}}{3^{17}}=\frac{1}{3}\)

a) \(\frac{125^{100}.2^{160}}{5^{289}.4^{80}}=\frac{\left(5^3\right)^{100}.2^{160}}{5^{289}.\left(2^2\right)^{80}}=\frac{5^{300}.2^{160}}{5^{289}.2^{160}}=5\)

b) \(\frac{9^8.8^8}{3^8.27^3.2^{24}}=\frac{\left(3^2\right)^8.\left(2^3\right)^8}{3^8.\left(3^3\right)^3.2^{24}}=\frac{3^{16}.2^{24}}{3^8.3^9.2^{24}}=\frac{3^{16}.2^{24}}{3^{17}.2^{24}}=\frac{1}{3}\)

a) \(\frac{125^{100}.2^{160}}{5^{289}.4^{80}}=\frac{\left(5^3\right)^{100}.2^{160}}{5^{289}.\left(2^2\right)^{80}}\)

                               \(=\frac{5^{300}.2^{160}}{5^{289}.2^{160}}=5^{11}=48828125\)

b) \(\frac{9^8.8^8}{3^8.27^3.2^{24}}=\frac{\left(3^2\right)^8.\left(2^3\right)^8}{3^8.\left(3^3\right)^3.2^{24}}\)

                            \(=\frac{3^{16}.2^{24}}{3^{17}.2^{24}}=3^{-1}=\frac{1}{3}\)

Chúc em học tốt nhé

sao k ai trả lời

Bn đăng vào toán thì các CTV chuyên toán sẽ giúp bạn

a, Ta có:
1996 + 3992 + 5988 + 7984
= 1 x 1996 + 2 x 1996 + 3 x 1996 + 4 x 1996
= (1 + 2 + 3 + 4) x 1996
= 10 x 1996
= 19960
b, 2 x 3 x 4 x 8 x 50 x 25 x 125
= 3 x 2 x 4 x 50 x 8 x 25 x 125
= 3 x (2 x 50) x (4 x 25) x (8 x 125)

= 30 000 000.

2 x 3 x 4 x 8 x 50 x 25 x 125

          = 3 x 2 x 4 x 50 x 8 x 25 x 125

          = 3 x (2 x 50) x (4 x 25) x (8 x 125)

          = 30 000 000.

a)\(\Rightarrow\frac{3}{2.\left(x+3\right)}-\frac{x-6}{2x.\left(x+3\right)}\)

\(\Rightarrow\frac{3x-x+6}{2x.\left(x+3\right)}\)

\(\Rightarrow\frac{2x+6}{2x.\left(x+3\right)}=\frac{2.\left(x+3\right)}{2x.\left(x+3\right)}=\frac{2}{2x}=\frac{1}{x}\)

b

=\(\frac{96x^4-75y^7}{40x^3y^3}\)

c, phan tich ra:

=\(\frac{\left(x-2\right)\left(x+2\right)}{3\left(x+4\right)}.\frac{x+4}{2\left(x-2\right)}=\frac{x+2}{6}\)

=

trong tích trên có 1 thừa số như thế này:

\(\left(\frac{1}{125}-\frac{1}{5^3}\right)\)

\(=\left(\frac{1}{125}-\frac{1}{125}\right)\)

=0

=> tích trên bằng 0

95 - (129 - 74) : 5 + 2022⁰

= 95 - 55 : 5 + 1

= 95 - 11 + 1

= 95 - 10

= 85

-------

(-67) + 125 + (-33) + 75

= (125 + 75) - (67 + 33)

= 200 - 100

= 100

--------

86.(-108) + 86.9 - 86

= 86.(-108 + 9 - 1)

= 86.(-100)

= 8600