[tex]a) \: \frac{4 {}^{12} }{4 {}^{9} } = 4 {}^{12 - 9} = 4 {}^{3} \\ \\ b) \: x {}^{5} \times x {}^{6} \times x {}^{2} = x {}^{5 + 6 + 2} = x {}^{13} \\ \\ c) \: 2 {}^{3} \times 2 {}^{4} \times 2 {}^{5} = 2 {}^{3 + 4 + 5} = 2 {}^{12} \\ \\ d) \: \frac{3 {}^{7} \times 3 {}^{8} }{3 {}^{11} } = \frac{3 {}^{7 + 8} }{3 {}^{11} } = \frac{3 {}^{15} }{3 {}^{11} } = 3 {}^{15 - 11} = 3 {}^{4} [/tex]
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LEY DE EXPONENTES :
✔Producto de bases iguales ( los exponentes se suman)
✔Cociente de bases iguales (los exponentes se restan)
[tex]a) \: \frac{4 {}^{12} }{4 {}^{9} } = 4 {}^{12 - 9} = 4 {}^{3} \\ \\ b) \: x {}^{5} \times x {}^{6} \times x {}^{2} = x {}^{5 + 6 + 2} = x {}^{13} \\ \\ c) \: 2 {}^{3} \times 2 {}^{4} \times 2 {}^{5} = 2 {}^{3 + 4 + 5} = 2 {}^{12} \\ \\ d) \: \frac{3 {}^{7} \times 3 {}^{8} }{3 {}^{11} } = \frac{3 {}^{7 + 8} }{3 {}^{11} } = \frac{3 {}^{15} }{3 {}^{11} } = 3 {}^{15 - 11} = 3 {}^{4} [/tex]