Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Hoeveel is (0,0625)^0,75 ?	A. 1,25
B. 12,5
C.
D.
E. 1,125

What is the value of (0.0625)^0.75 ?	A. 1,25
B. 12,5
C.
D.
E. 1,125

1^ste manier :
$(0,0625)^{0,75}=(0,0625)^{\frac34}=(\sqrt[4]{(0,0625}\,)^3=0,5^3=0,125=\frac18$
2^de manier :
$\\(0,0625)^{0,75}=(625.10^{-4})^{\frac34}=(5^4.10^{-4})^{\frac34}=(5^4)^{\frac34}.(10^{-4})^{\frac34}\\=5^3.10^{-3}=125.10^{-3}=0,125=\frac18$
3^de manier :
$\\(0,0625)^{0,75}=\left(\frac{625}{10000}\right)^{\frac34}=\left(\frac{5^4}{10^4}\right)^{\frac34}=\frac{5^3}{10^3}=\left(\frac12\right)^3=\frac18$