mình cũng hỏi về cái này gấp nha ai biết trả lời câu nào thì trả

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Đc r

a) \(\dfrac{10^{12}+5^{11}.2^9-5^{13}.2^8}{4.5^5.10^6}\)

\(=\dfrac{2^{12}.5^{12}+5^{11}.2^9-5^{13}.2^8}{2^2.5^5.2^6.5^6}\)

\(=\dfrac{2^{12}.5^{12}+5^{11}.2^9-5^{13}.2^8}{2^8.5^{11}}\)

\(=\dfrac{\left(2^8.5^{11}\right)\left(2^4.5+2-5^2\right)}{2^8.5^{11}}\)

\(=2^4.5+2-5^2\)

\(=57\)

b) \(\dfrac{\left[5\left(x-y\right)^4-3\left(x-y\right)^3+4\left(x-y\right)^2\right]}{\left(y-x\right)^2}\)

\(=\dfrac{\left(x-y\right)^2\left[5\left(x-y\right)^2-3\left(x-y\right)+4\right]}{\left(y-x\right)^2}\)

\(=\dfrac{\left(x^2+y^2-2xy\right)\left[5\left(x-y\right)^2-3\left(x-y\right)+4\right]}{\left(y^2+x^2-2xy\right)}\)

\(=5\left(x-y\right)^2-3\left(x-y\right)+4\)

c) \(\dfrac{\left(x+y\right)^5-2\left(x+y\right)^4+3\left(x+y\right)^3}{-5\left(x+y\right)^3}\)

\(=\dfrac{\left(x+y\right)^3\left[5\left(x+y\right)^2-2\left(x+y\right)+3\right]}{-5\left(x+y\right)^3}\)

\(=\dfrac{5\left(x+y\right)^2-2\left(x+y\right)+3}{-5}\)

vip đây

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a)

\(\text{( 25 – 2x )³ : 5 – 3^2 = 4^2}\)

\(\text{( 25 – 2x )³ : 5 – 9 = 16}\)

\(\text{( 25 – 2x )³ : 5 = 16 + 9}\)

\(\text{( 25 – 2x )³ : 5 = 25}\)

\(\text{( 25 – 2x )³ = 25 . 5}\)

\(\text{( 25 – 2x )³ = 125}\)

\(\text{( 25 – 2x )³ = 5³}\)

\(\text{25 – 2x = 5}\)

\(\text{2x = 25 – 5}\)

\(\text{2x = 20}\)

\(\text{x = 10}\)

\(\text{________________________________________}\)

b)

\(\text{2.3^x = 10.3^12 + 8.27^4}\)

\(\text{2.3^x = 10.3^12 + 8.(3^3)^4}\)

\(\text{2.3^x = 3^12 . (10+8)}\)

\(\text{2.3^x = 3^12 . 18}\)

\(\text{3^x = 3^12 . 18:2}\)

\(\text{3^x = 3^12 . 9}\)

\(\text{3^x = 3^12 . 3^2}\)

\(\text{3^x = 3^14}\)

\(\text{=> x=14}\)

\(4^x:2^6=2^8\)

\(\Rightarrow\left(2^2\right)^x:2^6=2^8\)

\(\Rightarrow2^{2x}:2^6=2^8\)

\(\Rightarrow2^{2x-6}=2^8\)

\(\Rightarrow2x-6=8\)

\(\Rightarrow2x=14\)

\(\Rightarrow x=\dfrac{14}{2}\)

\(\Rightarrow x=7\)

4x:26=28

⇒(22)�:26=28⇒(22)x:26=28

⇒22�:26=28⇒22x:26=28

⇒22�−6=28⇒22x−6=28

$\Rightarrow 2x-6=8$

$\Rightarrow 2x=14$

⇒�=142⇒x=214​

$\Rightarrow x=7$

8 mũ x :2 mũ x =4

(8:2) mũ x=4

4 mũ x=4

4 mũ 1=4

=>x=1

(8:2) mũ x=4

4  mũ x=4

4 mũ 1=4

vậy x=1

a, \(3^4\) 

b,  \(8^7:8^2\) 

c,  \(x^3.x^2.x\)  

d,  \(4^n.4^2\)  

e, \(3^{k+2}:3^k\)  

a, 3^4

b,8^7:8^2=8^5

c, x^3.x^2.x=x^6

d,4^n.4^2=4^(n+2)

e, 3^k+2:3^k

=3^k.(1+2)

=3^k.3

=3^(k+10

Mấy bài này đẽ ẹc mà !!!

a) 3⁴

b) 8⁷ : 8² = 8 ^{7 - 2} = 8⁵

c) x³ . x² . x = x^{3 + 2 + 1} = x⁶ .

d) 4ⁿ . 4² = 4^{n + 2}

^e) 3^{k+ 2} : 3 ^k = 3^{k + 2 - k} = 3^k .