Question

Calcule: a) 3-¹ + 2/3 b) 3-¹.9 c) 7-².49 d)6-² + 35/36


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Answer 1

a)

$3^{-1}+\frac{2}{3}~=~\frac{1}{3}+\frac{2}{3}~=~\frac{3}{3}~=~\boxed{1}$

b)

$3^{-1}~.~9~=~\frac{1}{3}~.~9~=~\frac{9}{3}~=~\boxed{3}$

c)

$7^{-2}~.~49~=~\frac{1}{7^2}~.~49~=~\frac{1}{49}.49~=~\frac{49}{49}~=~\boxed{1}$

d)

$6^{-2}+\frac{35}{36}~=~\frac{1}{6^2}+\frac{35}{36}~=~\frac{1}{36}+\frac{35}{36}~=~\frac{36}{36}~=~\boxed{1}$