a 30^3

b 42^3

a) \(\left(-8\right).\left(-3\right)^3.\left(+125\right)\\ =\left(-2\right)^3.\left(-3\right)^3.\left(+5\right)^3\\ =\left[\left(-2\right).\left(-3\right).\left(+5\right)\right]^3\\ =30^3\)

b) \(27.\left(-2\right)^3.\left(-7\right).\left(+49\right)\\ =3^3.\left(-2\right)^3.\left(-7\right).\left(-7\right)^2\\ =\left[3.\left(-2\right)\right]^3.\left[\left(-7\right).\left(-7\right)^2\right]\\ =\left(-6\right)^3.\left(-7\right)^3\\ =\left[\left(-6\right).\left(-7\right)\right]^3\\ =42^3\)

Các bạn tham khảo nhé:
a)

C1:

(- 8) . (- 3)³ . 125

= (- 2)³ . (- 3)³ . 5³

= [(- 2) . (- 3) . 5]³

= 30³

C2:

(- 8) . (- 3)³ . 125

= [(- 2) . (- 2) . (- 2)] . [(- 3) . (- 3) . (- 3)] . [5 . 5 . 5]

= [(- 2) . (- 3) . 5] . [(- 2) . (- 3) . 5] . [(- 2) . (- 3) . 5]

= 30 . 30 . 30 = 30³.

C3:

(- 8) . (- 3)³ . 125

= (- 8) . (- 27) . 125

= 27000 = 30³.

b)

C1:

27 . (- 2)³ . (- 7) . 49

= 3³ . (- 2)³ . (- 7) . (- 7)²

= [3 . (- 2) . (- 7)]³

= 42³.

C2:

27 . (- 2)³ . (- 7) . 49

= [3 . 3 . 3] . [(- 2) . (- 2) . (- 2)] . [(- 7) . (- 7) . (- 7)]

= [3 . (- 2) . (- 7)] . [3 . (- 2) . (- 7)] . [3 . (- 2) . (- 7)]

= 42 . 42 . 42 = 42³.

C3:

27 . (- 2)³ . (- 7) . 49

= 27 . (- 8) . (- 7) . 49

= 74088 = 49³.

Chúc các bạn học tốt!

làm bừa thui,ai tích mình mình tích lại

Số số hạng là : 

Có số cặp là :

50 : 2 = 25 ( cặp )

Mỗi cặp có giá trị là :

99 - 97 = 2 

Tổng dãy trên là :

25 x 2 = 50

Đáp số : 50

a)\(12^3.3^{-4}.64\)

\(=3^3.2^6.3^{-3}.2^6=2^{12}\)

b) \(\left(\frac{3}{7}\right)^5.\left(\frac{7}{3}\right)^{-1}.\left(\frac{5}{3}\right)^6:\left(\frac{343}{625}\right)^2\)

\(=\frac{3^5.7^{-1}}{7^5.3^{-1}}.\left(\frac{5}{3}\right)^6:\frac{7^6}{5^8}\)

\(=\frac{3^6}{7^6.}.\frac{5^6}{3^6}.\frac{5^8}{7^6}\)

\(=\frac{5^{14}}{7^{12}}\)

a: \(=\dfrac{3^3\cdot2^6}{3^{-4}\cdot2^6}=3^7\)

b: \(=\left(\dfrac{3}{7}\cdot\dfrac{5}{3}\right)^6\cdot\dfrac{5}{3}\cdot\dfrac{3}{7}:\left(\dfrac{7^3}{5^4}\right)^{-2}\)

\(=\left(\dfrac{5}{7}\right)^6\cdot\dfrac{5}{7}\cdot\left(\dfrac{5}{7}\right)^6\cdot5^2\)

\(=\left(\dfrac{5}{7}\right)^{13}\cdot5^2\)

c: \(=5^4\cdot2.5^{-5}\cdot125\cdot0.04\)

\(=5^4\cdot5\cdot\left(\dfrac{5}{2}\right)^{-5}\)

\(=5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)

a: \(=\dfrac{3^3\cdot2^6}{3^{-4}\cdot2^6}=3^7\)

b: \(=\left(\dfrac{3}{7}\right)^5\cdot\left(\dfrac{3}{7}\right)\cdot\dfrac{5^6}{3^6}:\left(\dfrac{625}{343}\right)^2\)

\(=\dfrac{3^6}{7^6}\cdot\dfrac{5^6}{3^6}:\dfrac{5^8}{7^6}\)

\(=\dfrac{1}{5^2}\)

c: \(=5^{4+3}\cdot\left(\dfrac{5}{2}\right)^{-5}\cdot\dfrac{1}{25}\)

\(=5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)

a: \(=\dfrac{3^3\cdot2^6}{3^{-4}\cdot2^6}=3^7\)

b: \(=\left(\dfrac{3}{7}\right)^5\cdot\left(\dfrac{3}{7}\right)\cdot\dfrac{5^6}{3^6}:\left(\dfrac{625}{343}\right)^2\)

\(=\dfrac{3^6}{7^6}\cdot\dfrac{5^6}{3^6}:\dfrac{5^8}{7^6}\)

\(=\dfrac{1}{5^2}\)

c: \(=5^{4+3}\cdot\left(\dfrac{5}{2}\right)^{-5}\cdot\dfrac{1}{25}\)

\(=5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)

a: \(=\dfrac{3^3\cdot2^6}{3^{-4}\cdot2^6}=3^7\)

b: \(=\left(\dfrac{3}{7}\right)^5\cdot\left(\dfrac{3}{7}\right)\cdot\dfrac{5^6}{3^6}:\left(\dfrac{625}{343}\right)^2\)

\(=\dfrac{3^6}{7^6}\cdot\dfrac{5^6}{3^6}:\dfrac{5^8}{7^6}\)

\(=\dfrac{1}{5^2}\)

c: \(=5^{4+3}\cdot\left(\dfrac{5}{2}\right)^{-5}\cdot\dfrac{1}{25}\)

\(=5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)

a: \(=\dfrac{3^3\cdot2^6}{3^{-4}\cdot2^6}=3^7\)

b: \(=\left(\dfrac{3}{7}\right)^5\cdot\left(\dfrac{3}{7}\right)\cdot\dfrac{5^6}{3^6}:\left(\dfrac{625}{343}\right)^2\)

\(=\dfrac{3^6}{7^6}\cdot\dfrac{5^6}{3^6}:\dfrac{5^8}{7^6}\)

\(=\dfrac{1}{5^2}\)

c: \(=5^{4+3}\cdot\left(\dfrac{5}{2}\right)^{-5}\cdot\dfrac{1}{25}\)

\(=5^5\cdot\left(\dfrac{2}{5}\right)^5=2^5\)