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a, \(-\dfrac{8}{27}=\left(-\dfrac{2}{3}\right)^3\)
b, \(\dfrac{81}{625}=\left(\dfrac{3}{5}\right)^4\)
c, \(27\cdot81=3^3\cdot3^4=3^7\)
d, \(\dfrac{2}{5}\cdot\dfrac{8}{125}\cdot\dfrac{16}{625}=\dfrac{2\cdot2^3\cdot2^4}{5\cdot5^3\cdot5^4}=\left(\dfrac{2}{5}\right)^8\)
a: =(-2/3)^3
b: =(3/5)^4
c: =3^3*3^4=3^7
d: =2/5*(2/5)^3*(2/5)^4=(2/5)^8
\(-\dfrac{8}{27}=\left(-\dfrac{2}{3}\right)^3\)
\(\dfrac{81}{625}=\left(\dfrac{3}{5}\right)^4\)
\(\dfrac{25}{49}=\left(\dfrac{5}{7}\right)^2\)
a: \(2^6\cdot3^3=\left(2^2\cdot3\right)^3=12^3\)
b: \(6^4\cdot8^3=2^4\cdot3^4\cdot2^9=2^{13}\cdot3^4\)
c: \(16\cdot81=36^2\)
d: \(25^4\cdot2^8=100^4\)
1/81 = (1/9)^2
243 = 3^5
8. 3^3 = 2^3 . 3^3 = 6^3
81.2^8 = 9^2 . (2^4)^2 = 9^2 . 16^2 = ( 9. 16)^2 = 144^2
254 . 28 = (52)4 . 28 = 52.4 . 28 = 58 . 28 = (5 . 2)8 = 108
1=1^2 ;125=5^3 ;-125=-5^3; 27=27^1; -27= -27^1
2: 5^2 25^1
\(\dfrac{1}{32}\) = 2-5
\(\dfrac{1}{8}\) = 2-3
0,5 = \(\dfrac{1}{2}\) = 2-1
0,25 = \(\dfrac{1}{4}\) = 2-2
a.\(\frac{-8}{27}=\left(\frac{-2}{3}\right)^3\)
c,\(\frac{25}{49}=\left(\frac{5}{7}\right)^2\)