Sifat 1
\(a^m \times a^n = a^{m + n}\)
Contoh:
- \(3^2 \times 3^5 = 3^{2 + 5} = 3^7\)
- \(6^3 \times 6 = 6^{3 + 1} = 6^4\)
- \(7^{12} \times 7^{-2} = 7^{12 + (-2)} = 7^{10}\)
- \(\left(2^3\right)^2 = 2^{(3\times 2)} = 2^6\)
- \(\left(4^2\right)^{-1} = 4^{(2\times -1)} = 4^{-2}\)
- \(\left(5^3\right)^{6} = 5^{(3\times 6)} = 5^{18}\)
- \(\left(\dfrac{2}{3}\right)^4 = \dfrac{2^4}{3^4}\)
- \(\left(\dfrac{1}{5}\right)^3 = \dfrac{1}{5^3}\)
- \(\left(\dfrac{4}{5}\right)^{-2} = \dfrac{4^{-2}}{5^{-2}}\)
- \(\dfrac{2^5}{2^2} = 2^{5 \:-\: 2} = 2^3\)
- \(\dfrac{5^3}{5} = 5^{3 \:-\: 1} = 5^2\)
- \(\dfrac{7^{-5}}{7^3} = 7^{-5 \:-\: 3} = 7^{-8}\)
- \(\left(2 \times 3\right)^5 = 2^5 \times 3^5\)
- \(\left(4 \times (-3)\right)^2 =4^2 \times (-3)^2\)
- \(\left(5 \times 7\right)^{-2} = 5^{-2} \times 7^{-2}\)
- \(\left(\dfrac{2}{5}\right)^{-1} = \left(\dfrac{5}{2}\right)^{1}\)
- \(\left(\dfrac{4}{7}\right)^{-2} = \left(\dfrac{7}{4}\right)^{2}\)
- \(\left(\dfrac{5}{12}\right)^{-4} = \left(\dfrac{12}{5}\right)^{4}\)