Find A, if $ 2020^{20}-2020^{19}=2020^{19} \times \mathrm{A} $.

Given:

\( 2020^{20}-2020^{19}=2020^{19} \times \mathrm{A} \).

To do:

We have to find the value of A.

Solution:

$2020^{20}-2020^{19}=2020\times2020^{19}-2020^{19}$

$=2020^{19}(2020-1)$     (Taking $2020^{19}$ common)

$=2020^{19}\times2019$

$2020^{19}\times A =2020^{19}\times2019$

Comparing both sides, we get,

$A=2019$.

The value of A is 2019.

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Updated on: 10-Oct-2022

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