Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{20^{40}}{40^{20}}$ is gelijk aan	A. 10
	B.
	C. 10²⁰
	D.
	E. 2^− 20

[ 2,3-3590 - op net sinds 12.12.15-(E)-4.11.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{20^{40}}{40^{20}}$ is equal to	A. 10
	B.
	C. 10²⁰
	D.
	E. 2^− 20

Oplossing - Solution

$\frac{20^{40}}{40^{20}}=\frac{(2.10)^{40}}{(4.10)^{20}}=\frac{2^{40}.10^{40}}{4^{20}.10^{20}}=\frac{2^{40}.10^{20}}{4^{20}}=\frac{2^{40}.10^{20}}{(2^2)^{20}}=\frac{2^{40}.10^{20}}{2^{40}}=10^{20}$