Find the value of 1022-10201020

10^22+10^2010^20 =(10^22+10^20)× 10^ 20 (1a^m=a^ m) =(10^22× 10^ 20)+(10^20× 10^ 20) =10^22 20+10^20 20 (a^m× a^n=a^m+n) =10^2+10^0 =100+1 (a^0=1) =10 ...

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Standard X

Mathematics

Trigonometric Identities

Find the valu...

Question

Find the value of $\frac{10^{22} + 10^{20}}{10^{20}}$

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101

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10^{42}

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10^{2}

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Solution

The correct option is B 101
$\frac{10^{22} + 10^{20}}{10^{20}}$
$= (10^{22} + 10^{20}) \times 10^{- 20} (\frac{1}{a^{m}} = a^{- m})$

$= (10^{22} \times 10^{- 20}) + (10^{20} \times 10^{- 20})$

$= 10^{22 - 20} + 10^{20 - 20} (a^{m} \times a^{n} = a^{m + n})$

$= 10^{2} + 10^{0}$
$= 100 + 1 (a^{0} = 1)$
$= 101$

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Find the value of 1022+10201020

The correct option is B 1011022+10201020 =(1022+1020)×10−20 (1am=a−m) =(1022×10−20)+(1020×10−20) =1022−20+1020−20 (am×an=am+n) =102+100 =100+1 (a0=1) =101

Find the value of $\frac{10^{22} + 10^{20}}{10^{20}}$