Question

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$A) ( \frac{2}{3} )² B) ( \frac{3}{4} ) ^{-2} C) (37.454)° D) (37.454)¹ E) 10^{6} . 10³ F) \frac{10^6} {10^3} G) (-3)² H) -4² I ) \frac{6^2 .8¹².10¹¹} {6^2.8^2.10¹^0} J) 2³+3²+4²$

Answer 1

a) $( \frac{2}{3} ) ^{2} = \frac{2^2}{3^2} = \frac{4}{9}$
b)$(\frac{3}{4} )^{-2} = (\frac{4}{3}) ^{2} = \frac{16}{9}$
c)(37.454)⁰= 1
d) (37.454)¹ = 37.454
e)10⁶.10³=10⁶⁺³= 10⁹
f)$\frac{10^{6} }{10^{3} } = 10^{6-3} = 10^{3}$
g)(-3)² = 9
h) (-4)² = 16
i)$\frac{ 6^{2}.8^{12}.10^{11} }{ 6^{2}.8^{2}.10^{10}}= 8^{10}.10^{1} = 10.8^{10}$
j) 2³+ 3²+ 4² = 8+9+16 = 33