1.Oblicz korzystając z praw działań na potęgach.
21³ · 3²
----------
9³ · 14³
2.Oblicz wartości wyrażenia :
3√75 + √12
---------------
√3
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21³ · 3² (3 * 7)³ * 3² 3³ * 7³ * 3² 3^5 1 1
----------- = ------------------- = ---------------------- = ------------------- = ------------ = ------
9³ · 14³ (3²)³ * (2 * 7)³ 3^6 * 2³ * 7³ 3^5 * 3 * 2³ 3 * 2³ 24
3√75 + √12 3√(25 * 3) + √(4 * 3) 15√3 + 2√3 17√3
------------------ = ------------------------------- = --------------------- = ------------ = 17
√3 √3 √3 √3
1) 21³ · 3² (3·7)³ · 3² 3³ · 7³ · 3² 3⁵ 1 1
------------- = -------------------- = ----------------- = ----------- = --------- = -------
9³ · 14³ (3²)³ · (2·7)³ 3⁶ · 2³ · 7³ 3⁶ · 2³ 3 · 8 24
2) 3√75 + √12 3√(25·3) + √(4·3) 15√3 + 2√3 17√3
------------------- = --------------------------- = ---------------------- = ------------- = 17
√3 √3 √3 √3