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The value of $open curly brackets open parentheses straight n square root of straight x squared end root close parentheses to the power of straight n over 2 end exponent close curly brackets squared$ is

x
$straight x to the power of straight n divided by 2 end exponent$
$straight x squared$
$straight x squared$

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If then find the value of n.

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The value of would be

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When x^m is multiplied by xⁿ,product is 1. The relation between m and n is

mn = 1
m = n
m + n = 1
m + n = 1

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If then the value of n is

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6.
If 2^x+4 - 2^x+2 = 3, then the value of 'x' is

0

2

-1

-2

-2

Shortcut Method:
Start putting the value of option which equates the equation.
e.g. put x = -2
2^x+4 - 2^x+2 = 3
2^-2+4 - 2^-2+2 = 3
2² - 2⁰ = 3
4 - 1 = 3

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The value of $fraction numerator 3 space cross times space 9 to the power of straight n plus 1 end exponent space plus space 9 space cross times space 3 to the power of 2 straight n minus 1 end exponent over denominator 9 space cross times space 3 to the power of 2 straight n end exponent space minus space 6 space cross times space 9 to the power of straight n minus 1 end exponent end fraction$ is equal to

$3 3 over 5$
$3 2 over 5$
$3 1 fifth$
3

If $open parentheses 3 over 5 close parentheses cubed space open parentheses 3 over 5 close parentheses to the power of negative 6 end exponent space equals space open parentheses 3 over 5 close parentheses to the power of 2 straight x minus 1 end exponent comma$ then x is equal to