Question

Reduza as potências aplicando as propriedades A) 4⁸. 4⁶ =B) (1,2)⁶. (1,2)⁴ =C) 3⁹ : 3² =D) (- ⅓ ) ¹⁵ : (-⅓)¹⁰=E) (10-²) -² =F) [(-9)⁶]⁴=

Answer 1

Resposta:

a)

${4}^{8} \times {4}^{6} = {4}^{8 + 6} = {4}^{14}$

b)

${(1.2)}^{6} \times {(1.2)}^{4} = {(1.2)}^{6 + 4} = {(1.2)}^{10}$

c)

${3}^{9} \div {3}^{2} = {3}^{9 - 2} = {3}^{7}$

d)

${ ( - \frac{1}{3}) }^{15} \div ( - \frac{1}{3} ) {}^{10} = ( - \frac{1}{3} ) {}^{15 - 10} = ( - \frac{1}{3} ) {}^{5}$

e)

$(10 {}^{ - 2} ) { }^{ - 2} = {10}^{( - 2) \times ( - 2)} = {10}^{4}$

f)

$[( - 9) {}^{6} ] {}^{4} = ( - 9) {}^{6 \times 4} = ( - 9) {}^{24}$