Question

calcule utilizando as propriedades de potência
1)
$4. {4}^{3}$
2)
${2}^{2} .2. {2}^{3}$
3)
${ \frac{5}{5} }^{3}$
4)
${5}^{10}. {6}^{10}$
5)
${ \frac{3}{ 4^{5} } }^{5}$
6)
$(9.5)$
7)
$( \frac{3}{5} ) ^{5}$
8)
$\frac{8 ^{20} }{8 ^{10} }$

Answer 1

Olá vamos aos calculos!

1)$4.4^3=4^{3+1}=4^4=256$

2)$2^2.2.2^3=2^{3+2+1}=2^6=64$

3)$\frac{5^3}{5} =5^{3-1}=5^2=25$

4)$5^{10}.6^{10}=(5.6)^{10}=30^{10}$

5)$\frac{3^5}{4^5} = (\frac{3}{4})^5$

6)(9.5)=(3.3.5)=(3.15)=45

7)$( \frac{3}{5})^5= \frac{3^5}{5^5} = \frac{243}{3125}$

8)$\frac{8^{20}}{8^{10}}= 8^{20-10}=8^{10}$


Espero ter ajudado!