Potencias 4º ESO

1.- Calcula:

 $\fs39^{\fs1{2}}$ $\fs3(-9)^{\fs1{2}}$ $\fs3(-1)^{\fs1{523}}$ $\fs3-9^{\fs1{2}}$ $\fs3235^{\fs1{0}}$ $\fs32^{\fs1{-2}}$ $\fs3(-2)^{\fs1{-3}}$ $\fs3(-5+3)^{\fs1{2}}$ $\fs3(5-4)^{\fs1{-3}}$ $\fs35^{\fs1{-5}}$ $\fs3-6^{\fs1{4}}$ $\fs34^{\fs1{-1}}$ $\fs3\left(\frac12\right)^{\fs1{2}}$ $\fs33^{\fs1{-1}}$ $\fs3\left(\frac25\right)^{\fs1{-2}}$ $\fs3\left(\frac32\right)^{\fs1{-3}}$ $\fs3\left(\frac{-9}2\right)^{\fs1{-2}}$ $\fs3\left(\frac{-7}2\right)^{\fs1{3}}$ $\fs3\left(\frac13+\frac25\right)^{\fs1{-1}}$ $\fs3\left(\frac{-1}2\right)^{\fs1{3}}$ $\fs3\left(\frac{-5}2\right)^{\fs1{3}}$ $\fs3(-1)^{\fs1{-3}}$ $\fs3\left(\frac{-1}5\right)^{\fs1{-2}}$ $\fs3-3^{\fs1{4}}$ $\fs3(2+5)^{\fs1{3}}$ $\fs3\left(\frac12\right)^{\fs1{-2}}$ $\fs3\left(\frac12\right)^{\fs1{2}}+\left(\frac12\right)^{\fs1{3}}-2^{\fs1{-2}}+4$ $\fs3(-3+1)^{\fs1{-2}}$ $\fs3\left(\frac{-1}3\right)^{\fs1{3}}$ $\fs3(-\sqrt3+1)^{\fs1{2}}$ $\fs3(-3)^{\fs1{-3}}$ $\fs3\left(\frac14\right)^{\fs1{-1}}$ $\fs3\left(\frac{\sqrt2}{2}\right)^{\fs1{2}}+35^{\fs1{0}}$ $\fs3(-5)^{\fs1{0}}$ $\fs3\left(\frac{-1}2+\frac13\right)^{\fs1{2}}$ $\fs3\left(\frac53\right)^{\fs1{2}}+\left(\frac12\right)^{\fs1{2}}$

2.- Simplifica aplicando propiedades de potencias:

 $\fs5\frac{15^{\fs1{-4}}\cdot27^{\fs1{-2}}\cdot25^{\fs1{4}}\cdot3^{\fs1{2}}}{5^{\fs1{6}}\cdot45^{\fs1{-1}}\cdot3^{\fs1{-2}}\cdot5^{\fs1{-4}}}$ $\fs5\frac{5^{\fs1{-4}}\cdot25^{\fs1{4}}\cdot3^{\fs1{-6}}\cdot30^{\fs1{4}}}{10^{\fs1{3}}\cdot15^{\fs1{4}}\cdot6^{\fs1{3}}}$ $\fs5\frac{9^{\fs1{-3}}\cdot27^{\fs1{4}}\cdot3^{\fs1{-5}}}{3^{\fs1{6}}\cdot9^{\fs1{-3}}\cdot81^{\fs1{4}}}$ $\fs5\frac{49^{\fs1{-2}}\cdot35^{\fs1{6}}\cdot25^{\fs1{3}}\cdot35^{\fs1{-3}}\cdot7^{\fs1{8}}}{25^{\fs1{-4}}\cdot5^{\fs1{-6}}\cdot125^{\fs1{4}}\cdot49^{\fs1{-3}}}$ $\fs5\frac{15^{\fs1{4}}\cdot3^{\fs1{-8}}\cdot\left(4^{\fs1{2}}\right)^{\fs1{3}}\cdot12^{\fs1{-2}}}{5^{\fs1{-3}}\cdot30^{\fs1{6}}\cdot2^{\fs1{4}}\cdot3^{\fs1{-2}}}$ $\fs5\frac{49^{\fs1{0}}\cdot(-3)^{\fs1{2}}\cdot(-21)^{\fs1{3}}\cdot7^{\fs1{4}}}{(-3)^{\fs1{3}}\cdot9^{\fs1{5}}\cdot27^{\fs1{2}}\cdot(-7)^{\fs1{4}}}$ $\fs5\frac{x\cdot{y}\cdot{y^{\fs1{-5}}}\cdot{y^{\fs1{-3}}}}{y^{\fs1{-7}}\cdot{y^{\fs1{8}}}\cdot{y^{\fs1{4}}}\cdot\left(x^{\fs1{5}}\right)^{\fs1{2}}}$ $\fs5\frac{\left(\frac13\right)^{\fs1{5}}\cdot\left(\frac13\right)^{\fs1{-2}}\cdot\left(\frac13\right)^{\fs1{4}}}{\left(\frac13\right)^{\fs1{6}}\cdot\left(\frac13\right)^{\fs1{-1}}\cdot\left(\frac13\right)^{\fs1{3}}}$

3.- Opera:

 $\fs42^{\fs1{2}}-\frac{4^{\fs1{2}}}{8}+3^{{\fs10}}$ $\fs42\cdot3^{\fs1{2}}-\frac{5^{\fs1{2}}}{5}+5^{{\fs13}}$ $\fs43^{\fs1{-1}}\cdot3-3^{\fs1{0}}+1-25^{\fs1{1}}$ $\fs4\frac{3^{\fs1{2}}}{2}-1-\frac{3^{\fs1{2}}}{2^{\fs1{-1}}}$ $\fs42^{\fs1{-1}}+2^{\fs1{-2}}+2^{\fs1{-3}}$ $\fs4-3^{\fs1{0}}+3^{\fs1{-1}}+35^{\fs1{0}}$ $\fs43^{\fs1{2}}+3^{\fs1{3}}-3^{\fs1{0}}$ $\fs4\left(\frac14\right)^{\fs1{-1}}-\left(\frac14\right)^{\fs1{-2}}+\left(\frac14\right)^{\fs1{-3}}$