\(\left(\frac{1}{8}\right)^4:\left(-\frac{1}{4}\right)^5\)

\(=\frac{1}{8^4}:\frac{-1}{4^5}\)

\(=\frac{1}{2^{12}}:\frac{-1}{2^{10}}\)

\(=\frac{1}{2^{12}}.\frac{2^{10}}{-1}=\frac{1}{-4}\)

a) 2⁵ . 8⁴ = 2⁵ . (2³)⁴ = 2⁵ . 2¹² = 2¹⁷

b) 25⁶ . 125³ = (5²)⁶ . (5³)³ = 5^12 _. 5⁹ = 5²¹

c) 625⁵ : 25⁷ = (25²)⁵ : 25⁷ = 25¹⁰ : 25⁷ = 25³

d) 12³ . 3³ = (12 . 3)³ = 36³

36³ m nha

\(a,2^5.8^4=2^5.2^{12}=2^{17}\)

\(b,25^6.125^3=5^{12}.5^9=5^{21}\)

\(c,625^5.25^7=5^{20}.5^{14}=5^{34}\)

\(d,12^3.3^3=\left(12.3\right)^3=36^3\)

a) 2⁵ . 8⁴ = 2⁵ . (2³)⁴ = 2⁵ . 2¹² = 2¹⁷

b) 25⁶ . 125³ = (5²)⁶ . (5³)³ = 5^12 _. 5⁹ = 5²¹

c) 625⁵ : 25⁷ = (25²)⁵ : 25⁷ = 25¹⁰ : 25⁷ = 25³

d) 12³ . 3³ = (12 . 3)³ = 36³

Trả lời:

\(a)\)\(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=2^{17}\)

\(b)\)\(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)

\(c)\)Chưa rõ đề.

\(d)\)\(12^3.3^3=\left(12.3\right)^3=36^3\)

a) \(\left(\frac{27}{64}\right)^8:\left(\frac{3}{4}\right)^{22}=\left[\left(\frac{3}{4}\right)^3\right]^8:\left(\frac{3}{4}\right)^{22}=\left(\frac{3}{4}\right)^{24}:\left(\frac{3}{4}\right)^{22}=\left(\frac{3}{4}\right)^2\)

b) \(\left(\frac{2}{3}\right)^2.\left(-\frac{8}{27}\right).\left(-\frac{2}{3}\right)=\left(\frac{2}{3}\right)^2.\left(-\frac{2}{3}\right)^3.\left(-\frac{2}{3}\right)=\left(\frac{2}{3}\right)^2.\left(-\frac{2}{3}\right)^4=\left(\frac{2}{3}\right)^6\)

Câu a:

4^4.2^3

= (2^2)^4.2^3

= 2^8.2^3

=2^11

Câu b:

9^3.3.27^2

= (3^2)^3.3.(3^3)^2

= 3^6.3.3^6

= 3^15

Câu c:

100.10^4.100^3

= 10^2.10^4.(10^2)^3

= 10^2.10^4.10^6

= 10^12

Câu d:

25^4 : 5^7

= (5^2)^4:5^7

= 5^8 : 5^7

= 5