\(\Leftrightarrow\left(\dfrac{4}{3}\right)^{150}:x=\left(-\dfrac{4}{3}\right)^{135}\)

\(\Leftrightarrow x=\left(\dfrac{4}{3}\right)^{150}:\left(-\dfrac{4}{3}\right)^{135}=-\left(\dfrac{4}{3}\right)^{15}\)

9^{x - 1} = 9

=> 9^{x - 1} = 9¹

=> x - 1 = 1 => x = 2

2^x . 2⁵ = 64

2^x . 2⁵ = 2⁷

=> x + 5 = 7

=> x = 2

75 - 4 . ( x + 4 ) = 71

 4x + 16 = 4

4x = - 12

=> x = - 3

a) 64% : y = 8

16/25 : y = 8

y = 16/25 : 8

y = 2/25

b) y x 100 = 75%

y x 100 = 3/4

y = 3/4 : 100

y  =3/400

64 % : y = 8                                   y x 100 = 75 %

            y = 64 % : 8                                 y = 75 % : 100

             y = 8 % = 0, 08                          y = 0, 75 % = 0, 0075

64% : y = 8

=> 64/100 : y = 8

=> y         = 64/100 : 8

=> y         = 2/25 = 0,08

y x 100 = 75%

=> y x 100 = 75/100

=> y          = 75/100 : 100

=> y          = 3/400

\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\\ \dfrac{6^6+6^3+3^3+3^6}{-73}=\dfrac{46656+216+27+729}{-73}=-\dfrac{47628}{73}\\ \dfrac{27^7+3^{15}}{9^9-27}=\dfrac{\left(3^3\right)^7+3^{15}}{\left(3^2\right)^9-3^3}=\dfrac{3^{21}+3^{15}}{3^{18}-3^3}=\dfrac{3^{15}\left(3^6+1\right)}{3^3\left(3^{15}-1\right)}=\dfrac{3^5\cdot730}{3^{15}-1}\\ \dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)

75 - 4 . ( x + 1 ) = 71

 4x + 4 = 4

4x = 0

=> x = 0

2^x . 2⁵ = 64

2^x . 2⁵ = 2⁷

=> x + 5 = 7

=> x = 2

9^{x - 1} = 9

=> 9^{x - 1} = 9¹

=> x - 1 = 1 => x = 2

C nha

Chúc bn học tốt!

Sửa lại nha, mk nhìn nhầm đề, -x = 1 thì x = -1 vậy là D nha

Chúc bn học tốt!

D.-1

Nhớ tick cho mình nhé!

a) -1/4

b)10/11(-8/9+7/18)=10/11.(-1/2)=-5/11

c) 3/14.28-13/21.28+29/42.28-8=28(3/14-13/21+29/42)-8=28.2/7-8=8-8=0

a,Điểm kiểm tra của môn toán của học sinh một lớp 

Mo=7

X=6.30(5)