Question

a) (3 elevado a 2)elevado a 4b) (5 elevado a 2)elevado a -1c) (7 elevado a -3)elevado a -1d) (2x3x4)elevado a 3

Answer 1

$a)\ (3^2)^4 = 3^{2 \times 4}=3^8=6.561\\\\\\ b)\ (5^2)^{-1} = 3^{2 \times (-1)}=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\\\\\\ c)\ (7^{-3})^{-1} = 3^{(-3) \times (-1)}=7^{3}=343\\\\\\ d)\ (2 \times 3 \times 4)^{3} = 2^3 \times 3^3 \times 4^3 = 24^3=13.824$


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Bons estudos!