Question

A). (2/3) elevado a -1 . 1/3
B). 2 elevado a 4 . (1/4) elevado a 2

C) (1/3) elevado a -5 + (1/5) elevado a -2
D) (2/7) elevado a -2 - (4/3) elevado a -1

Answer 1

a) $( \frac{2}{3}) ^{-1} * \frac{1}{3} = (\frac{3}{2}) ^{1} * \frac{1}{3} = \frac{3}{2} * \frac{1}{3} = \frac{1}{2}$

b) $2^{4} *( \frac{1}{4} ) ^{2} = 16* \frac{1}{16} = 1$

c) $( \frac{1}{3} )^{-5} + ( \frac{1}{5} )^{-2}= 3^{5} + 5^{2} = 243+25= 265$

d) $( \frac{2}{7} )^{-2} - ( \frac{4}{3} )^{-1} = ( \frac{7}{2} )^{2} - ( \frac{3}{4} )^{1} = \frac{49}{4} - \frac{3}{4} = \frac{46}{4} =11\frac{1}{2}$