chờ chút nhé bn

a) \(\left(2x-25\right):13+51=8^2\)

\(\left(2x-25\right):13+51=64\)

\(\left(2x-25\right):13=64-51\)

\(\left(2x-25\right):13=13\)

\(\left(2x-25\right)=13.13\)

\(2x-25=169\)

\(2x=169+25\)

\(2x=194\)

\(x=194:2\)

\(\Rightarrow x=97\)

=\(5^3\times5=5^4=3125\)

Đổi ra lũy thừa nha

1)x=10

2)x=58

3)x=3

4)x=53

t minh nhe

\(S=5+5^3+5^5+...+5^{99}\)

\(\Rightarrow25S=5^3+5^5+...+5^{101}\)

\(\Rightarrow24S=25S-S=5^3+5^5+...+5^{101}-5-5^3-...-5^{99}=5^{101}-5\)

\(\Rightarrow S=\dfrac{5^{101}-5}{24}\)

\(20+5x=5^2\cdot5^5\)

\(20+5x=5^7\)

\(20+5x=78125\)

\(5x=20-78125\)

\(5x=-78105\)

\(x=-15621\)

\(20+5x=5^2.5^5\)

           \(5x=78125-20\)

           \(5x=78105\)

             \(x=78105:5\)

             \(x=15621.\)( Cái đề này hình như có j đó sai sai, xem lại đề nha pạn )

\(A=5+5^2+5^3+5^4+...+5^{39}+5^{40}\)

\(=\left(5+5^2\right)+\left(5^3+5^4\right)+...+\left(5^{39}+5^{40}\right)\)

\(=5\left(1+5\right)+5^3\left(1+5\right)+...+5^{39}\left(1+5\right)\)

\(=6\left(5+5^3+...+5^{39}\right)⋮6\)

Suy ra \(A⋮3,A⋮2\).

\(a,\dfrac{\left(-11\right).3+7.\left(-11\right)}{\left(-15\right).22}=\dfrac{\left(-11\right).\left(3+7\right)}{\left(-15\right).22}=\dfrac{-11.10}{-15.22}=\dfrac{-11.2.5}{-11.3.5+2.11}=\dfrac{-1}{-3}=\dfrac{1}{3}\\ \dfrac{25.11}{15.37-15.48}\\ =\dfrac{5.5.11}{15.\left(37-48\right)}=\dfrac{5.5.11}{15.\left(-11\right)}=\dfrac{5.5.11}{3.5.\left(-11\right)}=\dfrac{5}{-3}=-\dfrac{5}{3}\\ \dfrac{-2.3.5^2}{3^2.5^3}=\dfrac{-2}{3.5}=-\dfrac{2}{15}\)

Câu cuối là dấu âm ở giữa phân số nhé

mấy bạn của mình ơi 

A) \(\frac{2^3\times3^3\times5^3\times7\times8}{3\times\left(-2\right)^4\times5^3\times14}\)=\(\frac{2^3\times3\times3^2\times5^3\times7\times2^2\times2}{3\times2^3\times2\times5^3\times2\times7}\)=\(2\)

B)  \(95\times\left(45-27\right)-45\times\left(95-27\right)\)

=\(95\times45-95\times27-45\times95+45\times27\)

\(=95\times45-45\times95+45\times27-95\times27\)

\(=95\times\left(45-45\right)+27\times\left(45-95\right)\)

\(=95\times0+27\times\left(-50\right)\)

\(=27\times\left(-50\right)=-1350\)

CHÚC BN HỌC TỐT NHA!!!

a, 2¹.5².17 = 2.25.17 = 50.17 = 850 

b, 2² + 2³ + 2⁴ = 4 + 8 + 16 = 28

c, 2⁵.3 + 2⁴:8 + 50: 5²

= 32.3 + 16:8 + 50:25

=96 + 2 + 2

= 100

d, 11² - 10² - 3²

= 121 - 100 - 9

= 21 - 9

= 12

e, 1³ + 2³ + 3³ + 4³ + 5³

= ( 1+ 2+3+4+5)²

= 15²

= 225