Question

Me ajudem nessas fraçoes de potencias?


a)10^5×3×10^8×2/10^8


b)10^5×10^3×15/10^3×3


c)5^8×10^3×^4/5^4×10^4×2^8

Pfv me ajudem​

Answer 1

Explicação passo-a-passo:

$a)\\ {10^5.3.10^8.2\over10^8}={3.2.10^{5+8}\over10^8}={6.10^{13}\over10^8}=6.10^{13-8}=6.10^5$

$b)\\ {10^5.10^3.15\over10^3.3}={10^{5+3}.15\over10^3.3}={10^8.15\over10^3.3}=10^{8-3}.15:3=10^5.5$

$c){5^8.10^3.2^4\over5^5.10^4.2^8}={5^{8-4}.10^{3-4}.2^{4-8}=5^4.10^{-1}.2^{-4}={5^4\over10.2^4}$

Answer 2

Explicação passo-a-passo:

Questão A

$\mathtt{\dfrac{10^5\times3\times10^8\times2}{10^8}=10^5\times3\times2\times\dfrac{10^8}{10^8}=6\times10^5}\\\\ \mathtt{6\times10^5=6\times100.000=600.000}$

Questão B

$\mathtt{\dfrac{10^5\times10^3\times15}{10^3\times3}=\dfrac{10^5\times15}{3}\times\dfrac{\cancel{10^3}}{\cancel{10^3}}=\dfrac{10^5\times\cancel{3}\times5}{\cancel{3}}=5\times10^5}\\\\\\ \mathtt{5\times10^5=5\times100.000=500.000}$

Questão C

$\mathtt{\dfrac{5^8\times10^3\times2^4}{5^4\times10^4\times2^8}=\dfrac{5^8}{5^4}\times\dfrac{10^3}{10^4}\times\dfrac{2^4}{2^8}=5^{8-4}\times10^{3-4}\times2^{4-8}=}\\\\\\ \mathtt{5^{4}\times10^{-1}\times2^{-4}=5^4\times\dfrac{1}{10^1}\times\dfrac{1}{2^4}=\dfrac{5^4}{2^4\times10}=}\\\\\\ \mathtt{\dfrac{5^4}{2^4\times10}=\dfrac{625}{16\times10}=\dfrac{625}{160}=3,90625}$