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The value of (20202000)−2008×(20202000)2008×2020\left(\frac{2020}{2000}\right)^{-2008}×\left(\frac{2020}{2000}\right)^{2008}×2020(20002020​)−2008×(200
Question

The value of (20202000)2008×(20202000)2008×2020\left(\frac{2020}{2000}\right)^{-2008}×\left(\frac{2020}{2000}\right)^{2008}×2020​ is:

A.

0

B.

220

C.

2020

D.

2220

Correct option is C

Given:
(20202000)2008×(20202000)2008×2020\left(\frac{2020}{2000}\right)^{-2008}×\left(\frac{2020}{2000}\right)^{2008}×2020​​
Solution:
(20202000)2008×(20202000)2008×2020\left(\frac{2020}{2000}\right)^{-2008}×\left(\frac{2020}{2000}\right)^{2008}×2020​​

(20202000)2008+2008×2020\left(\frac{2020}{2000}\right)^{-2008+2008}×2020​​

(20202000)0×2020\left(\frac{2020}{2000}\right)^{0}×2020​​
1×20201\times 2020​​
= 2020

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