a, 4¹⁰. 2³⁰=2²⁰.2³⁰=2⁵⁰

b,9²⁵.27⁴.81³= 3⁵⁰.3¹².3¹²=3⁷⁴

Tương tự các câu khác....

a, 4¹⁰.2³⁰ = (2²)¹⁰.2³⁰ = 2²⁰.2³⁰ = 2⁵⁰
b, 9²⁵.27⁴.81³ = (3²)²⁵.(3³)⁴.(3⁴)³ = 3⁵⁰.3¹².3¹² = 3⁷⁴
c, 25⁵⁰.125⁵ = (5²)⁵⁰.(5³)⁵ = 5¹⁰⁰.5¹⁵ = 5¹¹⁵
d, 64³.4⁸.16⁴ = (2⁶)³.(2²)⁸.(2⁴)⁴ = 2¹⁸.2¹⁶.2¹⁶ = 2⁵⁰
e, 3⁸ : 3⁶ = 3²
2¹⁰ : 8³ = 2¹⁰ : (2³)³ = 2¹⁰ : 2⁹ = 2
12⁷ : 6⁷ = (12 : 6)⁷ = 2⁷
@Dương Tuyết Mai

bai toán này kho lắm

tớ cũng đanh thắc mắc câu này

a) \(27^7\div9^{10}\)

\(=\left(3^3\right)^7\div\left(3^2\right)^{10}\)

\(=3^{3\times7}\div3^{2\times10}\)

\(=3^{21}\div3^{20}\)

\(=3^1\)

\(=3\)

b) \(125^6\div25^7\)

\(=\left(5^3\right)^6\div\left(5^2\right)^7\)

\(=5^{3\times6}\div5^{2\times7}\)

\(=5^{18}\div5^{14}\)

\(=5^4\)

\(=625\)

c) \(5^{15}\div5^3\)

\(=5^{12}\)

\(=244140625\)

d) \(11^7\div11^3\)

\(=11^4\)

\(=14641\)

e) \(125\div5^2\)

\(=5^2\div5^2\)

\(=5^1\)

\(=5\)

g) \(169\div13^2\)

\(=13^2\div13^2\)

\(=13^1\)

\(=13\)

Câu a:

\(\frac{2^{12}.3^5-4^6.9^2}{12^6+8^4.3^5}\)

= \(\frac{2^{12}.3^5-2^{12.3^6}}{2^{12}.3^6+2^{12}.3^5}\)

= \(\frac{2^{12}.3^4.\left(3-1\right)}{2^{12}.3^5.\left(3+1\right)}\)

= \(\frac{2}{3.4}\)

= \(\frac16\)

Câu b:

\(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

= \(\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.2^3.7^3}\)

= \(\frac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3.\left(1+8\right)}\)

= \(\frac{5.\left(-6\right)}{9}\)

=- 10/3

Tách từng câu ra giùm, như này ai giải nổi:)))))

1) 3^x+4 = 243

    3^x+4 = 3⁵

=> x + 4 = 5

     x        = 5 - 4

     x        = 1

Vậy x = 1

2) (x-3)² = 25

    (x-3)² = 5²

=> x - 3 = 5

     x       = 5 + 3

     x       = 8

Vậy x = 8

3) (2x-1)³ = 125

     (2x-1)³ = 5³

=> 2x - 1 =5

     2x       = 5 + 1

     2x       = 6

      x        = 6:2

      x        = 3

Vậy x=3

5) 15 - x = 7 - (-2)

     15 - x = 7 + 2

     15 - x = 9

            x = 15 - 9

            x  = 6

6) / x - 3 / = 7 - (-2)

    / x - 3 / = 7 + 2

    / x - 3 / = 9

TH1: x - 3 = 9

         x       = 9 + 3

         x       = 12

TH2: x - 3 = -9 

         x      = -9 + 3

         x      = -6

Vậy x = 12,-6

7) /x-5/ = /-7/

    x - 5 = -7

    x      = -7 + 5

    x      = -2

a: =125-24-75

=50-24

=26