Question

Calcule utilizando a propriedade adequada:
a)3²×3³+5⁴=
b)2⁰×2¹×2²=
c)8³÷8-8²÷8⁵=
d)5³÷5⁶÷5⁹=
e)10¹÷10-³= (o expoente q é negativo)
f)(2×3)=
g)(2²×3³)²=
h)(4×4²)³=​

Answer 1

Resposta:

$a)\\ \\ 3^{2}*3^{3}+5^{4} =\\ \\ 3^{2+3} +5^{4} =\\ \\ 3^{5} +5^{4} =\\ \\ 243+625=\\ \\ 868\\ \\ b)\\ \\ 2^{0} *2^{1}* 2^{2} =\\ \\ 2^{0+1+2} =2^{3} =8\\ \\ c)\\ \\ 8^{3} :8-8^{2} :8^{5} =\\ \\ 8^{3-1} -8^{2-5} =\\ \\ 8^{2} -8^{-3} =\\ \\ 8^{2} -\frac{1}{8^{3} } =\\ \\ 64-\frac{1}{512} =$

$d)\\ \\ 5^{3}: 5^{6}:5^{9} =\\ \\ 5^{3-6} :5^{9} =\\ \\ 5^{-3} :5^{9} =\\ \\ 5^{-3-9} =\\ \\ 5^{-12}$

$e)\\ \\ 10^{1} :10^{-3} =\\ \\ 10^{1-(-3)} =\\ \\ 10^{1+3} =\\ \\ 10^{4} =10000\\ \\ f)?\\ \\ (2*3)=6\\ \\ g)(2^{2} *3^{3} )^{2} =\\\\ (4*27)^{2} =\\ \\ 108^{2} =11664$

$h)\\ \\ (4*4^{2} )^{3} =(4^{1}*4^{2} )^{3} =\\ \\ (4^{1+2} )^{3} =\\ \\ (4^{3} )^{3} =4^{3*3} =\\ \\ 4^{9}$