Respostas
Explicação passo-a-passo:
como nessa divisão as bases são iguais, basta repetir a base e diminuir os expoentes
\begin{gathered}a)~~5^4\div5^2=5^{4-2}=5^2\\ \\ b)~~8^7\div8^3=8^{7-3}=8^4\\ \\ c)~~9^5\div9^2=9^{5-2}=5^3\\ \\ d)~~4^3\div4^2=4^{3-2}=4^1\\ \\ e)~~9^6\div9^3=9^{6-3}=9^3\\ \\ f)~~9^5\div9=9^{5-1}=9^4\\ \\ g)~~5^4\div5^3=5^{4-3}=5^1\\ \\ h)~~6^6\div6=6^{6-1}=6^5\\ \\ i)~~a^5\div a^3=a^{5-3}=a^2\\ \\ j)~~m^2\div m=a^{2-1}=m^1\\ \\ k)~~x^8\times x=x^{8-1}=x^7\\ \\ l)~~a^7\div a^6=a^{7-6}=a^1\end{gathered}
a) 5
4
÷5
2
=5
4−2
=5
2
b) 8
7
÷8
3
=8
7−3
=8
4
c) 9
5
÷9
2
=9
5−2
=5
3
d) 4
3
÷4
2
=4
3−2
=4
1
e) 9
6
÷9
3
=9
6−3
=9
3
f) 9
5
÷9=9
5−1
=9
4
g) 5
4
÷5
3
=5
4−3
=5
1
h) 6
6
÷6=6
6−1
=6
5
i) a
5
÷a
3
=a
5−3
=a
2
j) m
2
÷m=a
2−1
=m
1
k) x
8
×x=x
8−1
=x
7
l) a
7
÷a
6
=a
7−6
=a
1