Question

Tính :

a) \(\left(\dfrac{1}{5}\right)^5.5^5\)

b) \(\left(0,125\right)^3.512\)

c) \(\left(0,25\right)^4.1024\)

Answer 1

a) \(\left(\dfrac{1}{5}\right)^5.5^5=1\)

b) \(\left(0,125\right)^3.512=1\)

c) \(\left(0,25\right)^4.1024=4\)

Answer 2

a) (1/5)^5 . 5^5 = (1/5. 5)^5 = 1^5= 1

b) (0,125)^3. 512= (0,125)^3 . 8^3 = (0,125. 8)^3 = 1^3= 1

c) (0,25)^4. 1024= [(0,25)^2]^2. 32^2= (1/6)^2. 32^2=(1/6.32)^2= (32/6)^2 =2^2= 4

Answer 3

a, \(\left(\dfrac{1}{5}\right)^5.5^5\) =0,00032. 3125= 1

b, \(\left(0,125\right)^3.512\)= 0.001953125. 512=1

c, \(\left(0,25\right)^4.1024\) =0,00390625.1024=4

Answer 4

a, \(\left(\dfrac{1}{5}\right)^5.5^5=\left(\dfrac{1}{5}.5\right)^5=1^5=1\)

b, \(\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)

c, \(\left(0,25\right)^4.1024=\left(0,25\right)^4.256.4=\left(0,25\right)^4.4^4.4=\left(0,25.4\right)^4.4=1^4.4=1.4=4\)

Answer 5

a)

\(\left(\dfrac{1}{5}\right)^5.5^5\\ =\left(\dfrac{1}{5}.5\right)^5\\ =1^5=1\)

b)

\(\left(0,125\right)^3.512\\ =\left(0,125\right)^3.8^3\\ =\left(0,125.8\right)^3\\ =1^3=1\)

c)

\(\left(0,25\right)^4.1024\\ =\left(0,25\right)^4.256.4\\ =\left(0,25\right)^4.4^4\\ =\left(0,25.4\right)^4\\ =1^4.4\\ =4\)

Answer 6

a)\(\left(\dfrac{1}{5}.5\right)^5=1^5=1\)

b)\(\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)

c)\(\left(0,25\right)^4.2^{10}=\left(0,25\right)^4.\left(0,25.8\right)^{10}=\left(0,25\right)^4\left(0,25\right)^{10}.8^{10}=\left(0,25\right)^{14}.8^{10}=4\)