Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\sqrt {x.\sqrt {x.\sqrt {x}}}=x^m$ Hieruit volgt dat m gelijk is aan	A. \(\frac18\)
	B. \(\frac16\)
	C. \(\frac38\)
	D. \(\frac34\)
	E. \(\frac78\)

[ 5-6189 - op net sinds 5.6.2020-(E)-26.10.2026 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\sqrt {x.\sqrt {x.\sqrt {x}}}=x^m$ In that case m is equal to	A. \(\frac18\)
	B. \(\frac16\)
	C. \(\frac38\)
	D. \(\frac34\)
	E. \(\frac78\)

Oplossing - Solution

$\sqrt{x\sqrt{x\sqrt{x}}}=\sqrt{x\sqrt{x^{\frac32}}}=\sqrt{x\cdot x^{\frac34}}= \sqrt{x^{\frac74}}=x^{\frac78}$

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