Przedstaw w postaci jednej potęgi:
a. 3 do potęgi 4 razy 9 do potęgi 2
b. 4 do potęgi 5 razy 8 do potęgi 3
c. 8 do 3 podzielić 2 do 5
d. 125 do 7 podzielić 25 do 10
e. (1/9) do 4 podzielić (1/3) do 3
f. 0,5 do 9 podzielić (1/4) do 4
g. 0,1 do 9 podzielić 0,001 do 2
h. 5do8/32 razy 2do10/125
Te do5 np. to to znaczy do potęgi jakby ktoś nie wiedział
matematyka z plusem klasa 2 gimnazjum zad. 5 str 24
POTRZEBUJĘ PILNIE NA TERAZ BO JA TEGO NIE ROZUMIEM I PROSZĘ O POMOC! Z GÓRY DZIĘKUJĘ.
Dawid1987Gumis
![e)\\ \left(\dfrac{1}{9}\right)^4:\left(\dfrac{1}{3}\right)^3=\left[\left(\dfrac{1}{3}\right)^2\right]^4:\left(\dfrac{1}{3}\right)^3=\\ \left(\dfrac{1}{3}\right)^{2\cdot 4}:\left(\dfrac{1}{3}\right)^3= \left(\dfrac{1}{3}\right)^8:\left(\dfrac{1}{3}\right)^3=\left(\dfrac{1}{3}\right)^{8-3}=\left(\dfrac{1}{3}\right)^5](https://tex.z-dn.net/?f=e%29%5C%5C+%5Cleft%28%5Cdfrac%7B1%7D%7B9%7D%5Cright%29%5E4%3A%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E3%3D%5Cleft%5B%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E2%5Cright%5D%5E4%3A%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E3%3D%5C%5C%0A%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E%7B2%5Ccdot+4%7D%3A%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E3%3D%0A%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E8%3A%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E3%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E%7B8-3%7D%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E5 "e)\\ \left(\dfrac{1}{9}\right)^4:\left(\dfrac{1}{3}\right)^3=\left[\left(\dfrac{1}{3}\right)^2\right]^4:\left(\dfrac{1}{3}\right)^3=\\ \left(\dfrac{1}{3}\right)^{2\cdot 4}:\left(\dfrac{1}{3}\right)^3= \left(\dfrac{1}{3}\right)^8:\left(\dfrac{1}{3}\right)^3=\left(\dfrac{1}{3}\right)^{8-3}=\left(\dfrac{1}{3}\right)^5")
![f)\\ 0,5^9:\left(\dfrac{1}{4}\right)^4=\left(\dfrac{1}{2}\right)^9:\left[\left(\dfrac{1}{2}\right)^2\right]^4=\left(\dfrac{1}{2}\right)^9:\left(\dfrac{1}{2}\right)^8=\left(\dfrac{1}{2}\right)^1](https://tex.z-dn.net/?f=f%29%5C%5C%0A0%2C5%5E9%3A%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Cright%29%5E4%3D%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E9%3A%5Cleft%5B%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E2%5Cright%5D%5E4%3D%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E9%3A%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E8%3D%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E1 "f)\\ 0,5^9:\left(\dfrac{1}{4}\right)^4=\left(\dfrac{1}{2}\right)^9:\left[\left(\dfrac{1}{2}\right)^2\right]^4=\left(\dfrac{1}{2}\right)^9:\left(\dfrac{1}{2}\right)^8=\left(\dfrac{1}{2}\right)^1")
![g)\\ 0,1^9: 0,001^2=\left(\dfrac{1}{10}\right)^9:\left(\dfrac{1}{1000}\right)^2= \left(\dfrac{1}{10}\right)^9:\left[\left(\dfrac{1}{10}\right)^3\right]^2=\\ =\left(\dfrac{1}{10}\right)^9:\left(\dfrac{1}{10}\right)^{2\cdot 3}=\left(\dfrac{1}{10}\right)^9:\left(\dfrac{1}{10}\right)^{6}=\left(\dfrac{1}{10}\right)^{9-6}=\left(\dfrac{1}{10}\right)^{3}](https://tex.z-dn.net/?f=g%29%5C%5C%0A0%2C1%5E9%3A+0%2C001%5E2%3D%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E9%3A%5Cleft%28%5Cdfrac%7B1%7D%7B1000%7D%5Cright%29%5E2%3D%0A%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E9%3A%5Cleft%5B%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E3%5Cright%5D%5E2%3D%5C%5C%0A%3D%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E9%3A%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E%7B2%5Ccdot+3%7D%3D%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E9%3A%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E%7B6%7D%3D%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E%7B9-6%7D%3D%5Cleft%28%5Cdfrac%7B1%7D%7B10%7D%5Cright%29%5E%7B3%7D "g)\\ 0,1^9: 0,001^2=\left(\dfrac{1}{10}\right)^9:\left(\dfrac{1}{1000}\right)^2= \left(\dfrac{1}{10}\right)^9:\left[\left(\dfrac{1}{10}\right)^3\right]^2=\\ =\left(\dfrac{1}{10}\right)^9:\left(\dfrac{1}{10}\right)^{2\cdot 3}=\left(\dfrac{1}{10}\right)^9:\left(\dfrac{1}{10}\right)^{6}=\left(\dfrac{1}{10}\right)^{9-6}=\left(\dfrac{1}{10}\right)^{3}")
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