a) \(25.8^3-23.8^3=8^3\left(25-23\right)\)

                                 \(=8^3.2\)

                                  \(=2^9.2=2^{10}\)  

b) \(5^4-2.5^3=5^3.5-2.5^3\)

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

                        \(=5^3.3=375\)

c)\(2.4^3-4^3.7-6.4^3=4^3\left(2-7-6\right)\)

                                       \(=4^3.-11=-704\)

d)\(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right].10^3\)

\(=3^2.10^3-\left[13^2-2^2\left(5^2+15\right)\right].10^3\)

\(=3^2.10^3-\left[13^2-2^2.40\right].10^3\)

\(=10^3\left[3^2-9\right]\)

\(=0\)

Bài 1 :

a) \(25.8^3-23.8^3\)

\(=8^3.\left(25-23\right)\)

\(=512.2=1024\)

b) \(5^4-2.5^3\)

\(=5^3.5-2.5^3\)

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

\(=125.3\)

\(=375\)

c) \(2.4^3-4^3.7-6.4^3\)

\(=4^3.\left(2-7-6\right)\)

\(=64.\left(-11\right)=-704\)

d) \(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right]\)

\(=9.1000-\left[169-\left(25.4+4.15\right)\right]\)

\(=9000-\left[169-4\left(25+15\right)\right]\)

\(=9000-\left[169-4.40\right]\)

\(=9000-\left[169-160\right]\)

\(=9000-9=8991\)

a.\(25.8^3-23.8^3=8^3.\left(25-23\right)=512.2=1024\)

b. \(5^4-2.5^3=5^3.\left(5-2\right)=125.3=375\)

c. \(2.4^3-4^3.7-6.4^3=4^3.\left(2-7-6\right)\)\(=64.\left(-11\right)=-704\)

d. \(3^2.10^3-\left[13^2-\left(5^2.4+2^2.15\right)\right]=\)\(3^2.10^3-\left[13^2-\left(100+60\right)\right]\) \(=3^2.10^3-\left(13^2-160\right)=9000-9=8991\)

\(\dfrac{6^3.7-6^{13}.12}{6^3\left(5^3-5^2\right)}=\dfrac{6^3\left(7-12\right)}{5^3\left(125-25\right)}=\dfrac{-5}{100}=-\dfrac{1}{20}\)

\(=\dfrac{6^3\left(7-12\right)}{6^3\left(125-25\right)}=\dfrac{-5}{100}=-\dfrac{1}{20}\)

\(\dfrac{6^3.7-6^3.12}{6^3.\left(5^3-5^2\right)}=\dfrac{6^3.\left(-5\right)}{6^3.100}=\dfrac{1}{-20}\)

4 x 24 x 5² - (3³ x 18 + 3³ x 12 )

= 4 x 24 x 25 - ( 27 x 18 + 27 x 12 )

= 100 x 24 - [ 27 x ( 28 + 12 )]

= 2400 - ( 27 x 30 )

= 2400 - 810

= 1590

4.24.5² - ( 3³.18 + 3³.12)

= 4.24.25 - 3³( 18 + 12 )

= 100.24 - 3³.30

=2400 - 27.30

= 2400 - 810 = 1590

   4 . 24 . 5² - ( 3³ . 18 + 3³ . 12 )

=4 . 24 . 10 - ( 27 . 18 + 27 . 12 )

= 96 . 10 - [ 27. (12 + 18 )

= 960 - [27 . 30)

=960 - 810

=    150

Vậy giá trị của biểu thức đã cho là 150

\(=\dfrac{-1.3^2.7.8}{7.2}=-18\)

\(=\dfrac{\left(-2\right)^2.\left(-2\right).9.9.9.5^2.5^2.5.7.8}{3^2.3^2.3^2.4.4^2.25.25.25.14}=\dfrac{-2.5.7.8}{4^2.14}=\dfrac{-560}{224}=\dfrac{-5}{2}\)

\(\dfrac{\left(-2\right)^3.9^3.5^5.7.8}{3^6.4^4.25^3.14}=-\dfrac{2^3.\left(3^2\right)^3.5^5.7.2^3}{3^6.\left(2^2\right)^4.\left(5^2\right)^3.7.2}=-\dfrac{2^6.3^6.5^5.7}{2^9.3^6.5^6.7}=-\dfrac{1}{2^3.5}=-\dfrac{1}{40}\)

mik ko chép lại đề bài nha

a) = (12³)²- 1²- (3⁶. 4⁶)

    = (12⁶-1)- (3.4)⁶

     = 12⁶-1-12⁶

    = -1

\(\left(-\frac{10}{3}\right)^5.\left(-\frac{6}{5}\right)^4\)

\(=\frac{-2^5.5^5}{3^5}.\frac{2^4.3^4}{5^4}\)

\(=\frac{-2^9.5}{3}=-\frac{2560}{3}\)