a) \(2^{x+2}-2^2=96\)

 <=> \(2^x.2^2-2^x=96\)

 <=> \(2^x\left(4-1\right)=96\)

<=> \(3.2^x=96\)

<=> \(2^x=32\)

<=> \(2^x=2^5\)

<=> x = 5 

b, \(x-\left(\frac{50x}{100}+\frac{25x}{200}\right)=11\frac{1}{4}\)

\(\Rightarrow x-\left(\frac{1x}{2}+\frac{1x}{8}\right)=\frac{45}{4}\)

\(\Rightarrow x-\left(\frac{4x}{8}+\frac{1x}{8}\right)=\frac{45}{4}\)

\(\Rightarrow x-\frac{5x}{8}=\frac{45}{4}\)

\(\Rightarrow\frac{8x}{8}-\frac{5x}{8}=\frac{45}{4}\)

\(\Rightarrow\frac{3x}{8}=\frac{45}{4}\Rightarrow x=\frac{45}{4}\div\frac{3}{8}=30\)

Vậy x = 30 

100 x 2 + ( 5 x 200 ) + 120 x 5 

= 100 x 2 + 1000 + 120 x 5

= ( 100 x 2 ) + 1000 + ( 120 x 5 )

= 200 + 1000 + 600

= 1800

100 x 2 + ( 5 x 200) + 120 x 5

=200+1000+600

=1800

a)x=30

b)x=65

bn giải cụ thể hơn đi , mình ko hiểu

X+100+100+200=200

X+(100+100+200)=200

X+400=200

X=200-400

X=-200

x + 100 + 100 + 200 = 200

x                             = 200 - 200 - 100 - 100

x                             = - 200

\(200:25-\left(12-x\right)=4\\ 8-\left(12-x\right)=4\\ 12-x=8-4\\ 12-x=4\\ x=12-4\\ x=8\\ ---\\ \left(x-10\right).5=100-20.4\\ \left(x-10\right).5=100-80=20\\ x-10=\dfrac{20}{5}=4\\ x=4+10=14\)

a)\(200:25-\left(12-x\right)=4\)

\(\Rightarrow8-\left(12-x\right)=4\)

\(\Rightarrow12-x=8-4\)

\(\Rightarrow12-x=4\)

\(\Rightarrow x=12-4\)

\(\Rightarrow x=8\)

b) \(\left(x-10\right)\cdot5=100-20\cdot4\)

\(\Rightarrow\left(x-10\right)\cdot5=100-80\)

\(\Rightarrow\left(x-10\right)\cdot5=20\)

\(\Rightarrow x-10=4\)

\(\Rightarrow x=10+4\)

\(\Rightarrow x=14\)

100⁵ : 100³ = 100²

10² . 10¹ = 10³

500²⁰⁰ . 500¹⁰ = 500²¹⁰

10⁵ . 10² = 10⁷

100³⁰ . 100¹⁰ = 100⁴⁰

200¹⁰⁰ : 200¹⁰ = 200⁹⁰

100²⁰ . 100¹⁰ = 100³⁰

300¹⁰⁰ . 300¹⁰⁰ = 300²⁰⁰

100⁵ : 100³

= 100^{5 - 3}

= 100²

10² . 10¹

= 10^{2 + 1}

= 10³

500²⁰⁰ . 500¹⁰

= 500^{200 + 10}

= 500²¹⁰

10⁵ . 10²

= 10^{5 + 2}

= 10⁷

100³⁰ . 100¹⁰

= 100^{30 + 10}

= 100⁴⁰

200¹⁰⁰ : 200¹⁰

= 200^{100 - 10}

= 200¹⁹⁰

100²⁰ . 100¹⁰

= 100^{20 + 10}

= 100³⁰

300¹⁰⁰ .300¹⁰⁰

= 300^{100 + 100}

= 300²⁰⁰

\(x:100=200+100\)

\(x:100=300\)

          \(x=300x100\)

         \(x=30000\)

x : 100 = 200 + 100

x : 100 = 300

x          = 300 x 100

x           = 30000

x+200+200=200+200+100

x+400=500

x=500-400

x=100

tk minh nha

X+200+200=200+200+100

X+(200+200)=500

X+400=500

X=500-400

X=100