Question
Regn ut og skriv som potenser: \( \begin{array}{ll}\text { a } 2^{3} \cdot 2^{5} & \text { d }\left(\frac{2}{3}\right)^{3} \cdot\left(\frac{2}{3}\right)^{3} \\ \text { b } 3^{4} \cdot 3^{2} & \text { e } 0,1^{5} \cdot 0,1^{2} \\ \text { c } 5^{4} \cdot 5 & \text { f }(\sqrt{3})^{5} \cdot(\sqrt{3})^{3} \\ 4.11 & \end{array} \)
Ask by Harmon Johnston. in Norway
Jan 14,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
a) \(2^{8}\)
b) \(3^{6}\)
c) \(5^{5}\)
d) \(\left(\frac{2}{3}\right)^{6}\)
e) \(0{,}1^{7}\)
f) \(\left(\sqrt{3}\right)^{8}\)
Solution
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Bonus Knowledge
a) \( 2^{3} \cdot 2^{5} = 2^{3+5} = 2^{8} \) b) \( 3^{4} \cdot 3^{2} = 3^{4+2} = 3^{6} \) c) \( 5^{4} \cdot 5 = 5^{4+1} = 5^{5} \) d) \( \left(\frac{2}{3}\right)^{3} \cdot \left(\frac{2}{3}\right)^{3} = \left(\frac{2}{3}\right)^{3+3} = \left(\frac{2}{3}\right)^{6} \) e) \( 0,1^{5} \cdot 0,1^{2} = 0,1^{5+2} = 0,1^{7} \) f) \( (\sqrt{3})^{5} \cdot (\sqrt{3})^{3} = (\sqrt{3})^{5+3} = (\sqrt{3})^{8} \)