Question

Resuelve las siguientes potencias aplicando propiedades

Answer 1

$3^{0} = 1$

$23^{1}=23$

$45=5 \cdot 3^{2} \\45^{5} = (5 \cdot 3^{2})^{5} =5^{5} \cdot 3 ^{10}$

$(8^{2} )^{6} =8^{2\cdot 6} =8^{12}=(2^{3} )^{12} =2^{3\cdot12} =2^{36}$

$24^{2} \cdot 24^{3} =24^{2+3} =24^{5}=( 3 \cdot 2^{3} )^{5}=3^{5}\cdot 2^{3\cdot5}=3^{5}\cdot2^{15}$

$15^{2} :15^{4} =15^{2-4} =15^{-2} =\frac{1}{15^{2} }$

$(63\cdot21)^{3} =( 7^{2} \cdot 3^{3} )^{3} =(7^{2})^{3} \cdot (3^{3})^{3} =7^{2\cdot3} \cdot 3^{3\cdot3} =7^{6} \cdot 3^{9}$

$(84:4)^{2} =(2^{2} \cdot 3 \cdot 7: 2^{2} )^{2} =(3 \cdot 7)^{2} =3^{2} \cdot 7^{2}$