Question

1°)Aplicando as propriedades da potenciação transforme em uma única potência:

a)7⁵•7⁴
b)(x¹⁰)³
c)(13²)⁶
d)8⁵÷8⁴
e)(0,6)¹⁰÷(0,6)⁶​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Propriedades\,da\,pot\hat enciac_{\!\!,}\tilde ao}\\\\\sf \boxed{1}~ a^m\cdot a^n=a^{m+n}\\\sf\boxed{2}~\dfrac{a^m}{a^n}=a^{m-n}\\\\\sf\boxed{3}~(a^m)^n=a^{m\cdot n}\\\\\boxed{\sf4}\sf~(a\cdot b)^n=a^n\cdot b^n\\\\\sf\boxed{\sf 5}~\bigg(\dfrac{a}{b}\bigg)^n=\dfrac{a^n}{b^n}\end{array}}$

$\Large\boxed{\begin{array}{l}\rm a)~\sf7^5\cdot7^4=7^{5+4}=7^{9}\\\rm b)~\sf(x^{10})^3=x^{10\cdot3}=x^{30}\\\rm c)~\sf(13^2)^6=13^{2\cdot6}=13^{12}\\\rm d)~\sf 8^5\div8^4=8^{5-4}=8^1\\\rm e)~\sf (0,6)^{10}\div(0,6)^{6}=0,6^{10-6}=0,6^4\end{array}}$