làm Ny anh nhé baby

a: \(=5^5\cdot32=10^5\)

b: \(=5^3\cdot\left(-2\right)^3\cdot\left(-3\right)^3\cdot1=30^3\)

c: \(=\left(-8\right)^5\cdot9^5=-72^5\)

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

b: \(3^4\cdot3^5:\dfrac{1}{27}==3^9\cdot3^3=3^{12}\)

a) = 2^12 . 2^2 . 2^40

 = 2^12+2+40

= 2^54

b)= 3^5 . 3^3 . 3^8

 = 3⁵⁺³⁺⁸

  =  3^16

c)= 5^4 . 5^2 . 5^3

= 5^{4 + 2 +3} 

= 5^9

a) 8⁴. 2².16¹⁰ = (2³)⁴.2².(2⁴ )¹⁰= 2¹² .2².2⁴⁰=2⁵⁴

b)  3⁵.27.81² =  3⁵.3³.( 3⁴) ² = 3⁵ . 3³.3⁸  = 3¹⁶

c)  25².5².125 =(5²)² .5².5³= 5⁴.5².5³= 5⁹

Trung Thu vui vẻ nha thuy hang

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

= \(\left(\frac{3}{5}\right)^6\)

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