Question

calcule as potências abaixo:
9-⁴ / 9-²
2⁴.2¹⁰ / 2⁶.2⁹
x².x⁴
t³ / t-²​

Answer 1

a)

$\frac{ {9}^{ - 4} }{ {9}^{ - 2} } = {9}^{- 4 + 2} = \red{{9}^{ - 2}}$

b)

$\frac{ {2}^{4}. {2}^{10} }{ {2}^{6}. {2}^{9} } = \frac{ {2}^{4 + 10} }{ {2} ^{9 + 6} } = \frac{ {2}^{14} }{ {2}^{15} } = \\ \\ {2}^{14 - 15} = \red{ {2}^{ - 1}}$

c)

$\large{ {x}^{2} . {x}^{4} = {x}^{2 + 4} = \red{ {x}^{6}}}$

d)

$\large{ \frac{ {t}^{3} }{ {t}^{ - 2} } = {t}^{3 - ( - 2)} = {t}^{3 + 2} = \red{{t}^{5}}}$