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

0
2
-1
-2

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7.
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

$3 3 over 5$

$fraction numerator 3 space cross times space 9 to the power of straight n plus 1 end exponent space plus space 9 space cross times space 3 to the power of 2 straight n minus 1 end exponent over denominator 9 space cross times space 3 to the power of 2 straight n end exponent space minus space 6 space cross times space 9 to the power of straight n minus 1 end exponent end fraction space equals space fraction numerator 3 space cross times space 3 to the power of 2 straight n plus 2 end exponent space plus space 9 space cross times space 3 to the power of 2 straight n minus 1 end exponent over denominator 9 space cross times space 3 to the power of 2 straight n end exponent space minus space 6 space cross times space 3 to the power of 2 straight n minus 2 end exponent end fraction$
$equals space fraction numerator 3 space cross times space 3 to the power of 2 straight n end exponent space open square brackets 3 squared space plus space 3 space cross times space 3 to the power of negative 1 end exponent close square brackets over denominator 3 space cross times space 3 to the power of 2 straight n end exponent space left square bracket 3 space minus 2 space cross times space 3 to the power of negative 2 end exponent right square bracket end fraction equals space fraction numerator 9 plus 1 over denominator 3 minus begin display style 2 over 9 end style end fraction space equals space fraction numerator 10 space cross times space 9 over denominator 27 minus 2 end fraction space equals space 18 over 5 space equals space 3 3 over 5$

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

-2
2
-1
1

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7. The value of is equal to 3