a) \(15^8\cdot2^4\)

\(=\left(15^2\right)^4\cdot2^4\)

\(=225^4\cdot2^4\)

\(=\left(225\cdot2\right)^4\)

\(=450^4\)

b) \(27^5:32^3\)

\(=\left(3^3\right)^5:\left(2^5\right)^3\)

\(=3^{15}:2^{15}\)

\(=\left(\dfrac{3}{2}\right)^{15}\)

\(\begin{array}{l}a){15^8}{.2^4} = {15^{2.4}}{.2^4} = {({15^2})^4}{.2^4}\\ = {225^4}{.2^4} = {(225.2)^4} = {450^4}\\b){27^5}:{32^3} = {({3^3})^5}:{({2^5})^3}\\ = {3^{3.5}}:{2^{5.3}} = {3^{15}}:{2^{15}} = {\left( {\frac{3}{2}} \right)^{15}}\end{array}\)

a) \(15^8\cdot2^4=3^8\cdot5^8\cdot2^4=9^4\cdot25^4\cdot2^4=\left(9\cdot25\cdot2\right)^4=450^4\) 

b) \(27^5:32^3=\left(3^3\right)^5:\left(2^5\right)^3=3^{15}:2^{15}=\left(\dfrac{3}{2}\right)^{15}\)

a) 15⁸ x 9⁴

= 15⁸ x ( 3² )⁴

= 15⁸ x 3⁸

= ( 15 x 3 )⁸ = 45⁸

b) 4⁹ : 5²⁷

= 4⁹ : ( 5³ ) ⁹

= 4⁹ : 125⁹

= \(\left(\frac{4}{125}\right)^9\)

c) 20¹⁰ : 2²⁰

= 20¹⁰ : ( 2² )¹⁰

= 20¹⁰ : 4¹⁰ = ( 20 : 4 ) ¹⁰ = 5¹⁰

d) 27⁵ : ( -7 ) ¹⁵

= 27⁵ : [ ( - 7 )³ ]⁵

= 27⁵ : ( - 21 )⁵

= \(\left(\frac{27}{-21}\right)^5=\left(\frac{9}{-7}\right)^5\)

Cbht

Đáp án D

a 3 . a 2 3 5 = a 3 . a 2 3 5 = a 11 3 5 = a 11 15

a

Trả lời:

a, \(15^8.9^4\)

\(=15^8.\left(3^2\right)^4\)

\(=15^8.3^8\)

\(=45^8\)

b, \(27^2:25^3\)

\(=\left(3^3\right)^2:\left(5^2\right)^3\)

\(=3^6:5^6\)

\(=\left(\frac{3}{5}\right)^6\)

Hok Tốt!!!!

a. 15⁸ . 9⁴

= 15⁸ . (3²)⁴

= 15⁸.3⁸

= (15.3)⁸

= 45⁸

b. 27² : 25³

= (3³)² : (5²)³

= 3⁶ : 5⁶

= \(\left(\frac{3}{5}\right)^6\)

a, 10⁸ . 2⁸ = ( 2.5 )⁸ . 2⁸

                = 2⁸ . 5⁸ .2⁸

               = 2¹⁶ . 5⁸

b, 27² : 25³ = ( 3³ )² : ( 5² )³

                  = 3⁶ : 5⁶

Bài làm

a) 27² : 25³ = 

Viết các biểu thức sau dưới dạng 1 số hữu tỉ:

\(a,10^8\cdot2^8=\left(10\cdot2\right)^8\)

                   \(=20^8\)

\(b,27^2\cdot25^3=\left(3^3\right)^2\cdot\left(5^2\right)^3\)

                      \(=3^6\cdot5^6\)

                      \(=\left(3\cdot5\right)^6\)

                     \(=15^6\)

Học tốt nhé mấy bạn!!!

giúp mik với

b

\(2^4.8=2^4.2^3=2^7.....B\)

1 b