Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Uit $https://latex.codecogs.com/png.image?\dpi{110}x^{-\frac 14}=\frac14$ volgt dat x =	A. $1$
	B. $\sqrt2$
	C. $-1$
	D. $256$
	E. $\frac{1}{256}$

[ 5-0420 - op net sinds 29.3.2020-(E)-17.7.2024 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}x^{-\frac 14}=\frac14$ Then the value of x is	A. $1$
	B. $\sqrt2$
	C. $-1$
	D. $256$
	E. $\frac{1}{256}$

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}x^{-\frac 14}=\frac14\; \Rightarrow \; \left ( x^{-\frac 14} \right )^{-4}=\left ( \frac 14 \right )^{-4}\; \Rightarrow \; x=\left ( 2^{-2} \right )^{-4}=2^8=256$