\(a,a^{\dfrac{1}{3}}\cdot\sqrt{a}=a^{\dfrac{1}{3}}\cdot a^{\dfrac{1}{2}}=a^{\dfrac{5}{6}}\\ b,b^{\dfrac{1}{2}}\cdot b^{\dfrac{1}{3}}\cdot\sqrt[6]{b}=b^{\dfrac{1}{2}}\cdot b^{\dfrac{1}{3}}\cdot b^{\dfrac{1}{6}}=b^1\)

\(c,a^{\dfrac{4}{3}}:\sqrt[3]{a}=a^{\dfrac{4}{3}}:a^{\dfrac{1}{3}}=a^{\dfrac{4}{3}-\dfrac{1}{3}}=a\\ d,\sqrt[3]{b}:b^{\dfrac{1}{6}}=b^{\dfrac{1}{3}}:b^{\dfrac{1}{6}}=b^{\dfrac{1}{3}-\dfrac{1}{6}}=b^{\dfrac{1}{6}}=\sqrt[6]{b}\)

x 5 3

Đáp án B

a: \(2^6\cdot3^3=\left(2^2\cdot3\right)^3=12^3\)

b: \(6^4\cdot8^3=2^4\cdot3^4\cdot2^9=2^{13}\cdot3^4\)

c: \(16\cdot81=36^2\)

d: \(25^4\cdot2^8=100^4\)

a) 10⁸.2⁸ = (10.2)⁸ = 20⁸

b) 10⁸ : 2⁸ = (10 : 2)⁸ = 5⁸

a, 10⁸  . 2⁸ = ( 10.2 )⁸ = 20⁸

b,10⁸ : 2⁸ = ( 10:2 )⁸ = 5⁸

a . 10 mũ 8 . 2 mũ 8 = 10 . 2 mũ 8 = 20 mũ 8

b . 10 mũ 8 :2 mũ 8 =10 :2 mũ 8 =5 mũ 8

Đáp án A

Ta có  a 2 3 . a = a 2 3 . a 1 2 = a 2 3 + 1 2 = a 7 6   .

a) 27² : 25³

= (3³)² : (5²)³

= 3⁶ : 5⁶

 \(=\left(\frac{3}{5}\right)^6\)

b) 25⁴ : 2⁸

= (5²)⁴ : 2⁸

= 5⁸ : 2⁸

\(=\left(\frac{5}{2}\right)^8\)

mn vào lazi nhé

https://lazi.vn/users/dang_ky?u=dong.do-thi-thu

a, 10⁸ . 2⁸ = (10.2)⁸ = 20⁸

b. 10⁸ : 2⁸ = (10:2)⁸= 5⁸

c, 25⁴ . 2⁸ = (5²)⁴ . 2⁸ = 5⁸ . 2⁸ = (5.2)⁸= 10⁸

d, 15⁸ . 9⁴ = 15⁸ . (3²)⁴ = 15⁸ . 3⁸ = (15.3)⁸ =  45⁸

e, 27² : 25³ = (3³)² : (5²)³ = 3⁶ : 5⁶ = (3:5)² = \(\left(\dfrac{3}{5}\right)^2\)

^Hoctot