Question

escreva na forma de uma só potência,aplicando a propriedade

A)5^6.3^6

B)9⁴.(-1)⁴

C)3-³.7-³

​

Answer 1

Resposta:

a) 5⁶ . 3⁶ = (5 . 3)⁶ = 15⁶

b) 9⁴. (-1)⁴ = [9 . (- 1)]⁴ = - 9⁴

$c) \: {3}^{ - 3} \times {7}^{ - 3}$

${\binom{1}{3}}^{3} \times {\binom{1}{3}}^{3}$

$\frac{{1}^{3}}{{3}^{3}} \times \frac{{1}^{3}}{{3}^{3}} = \frac{1}{27} \times \frac{1}{27}$

$\frac{1}{729}$

$d) \: {\binom{1}{5}}^{7} \times {\binom{3}{4}}^{7}$

$\frac{{1}^{7}}{{5}^{7}} \times \frac{{3}^{7}}{{4}^{7}} = \frac{1}{78125} \times \frac{2137}{16384}$

$= \frac{2187}{1280000000}$