Trying to find the right answer to this..

We have [∴ and ] = ∴ - Wired Faculty

Question

Find the value of: $left parenthesis 8 to the power of negative 0 end exponent plus 5 to the power of negative 1 end exponent right parenthesis to the power of negative 2 end exponent straight x 3 squared$

Solution

We have $left parenthesis 8 to the power of negative 0 end exponent plus 5 to the power of negative 1 end exponent right parenthesis to the power of negative 2 end exponent straight x 3 squared$
$open parentheses 1 plus 1 fifth close parentheses to the power of negative 2 end exponent space cross times space 3 squared$ [∴ $straight x to the power of 0 equals 1$ and $straight x to the power of negative 1 end exponent equals 1 over straight x$ ]
$equals open parentheses 6 over 5 close parentheses to the power of negative 2 end exponent cross times 3 squared$
= $open parentheses 5 over 6 close parentheses to the power of plus 2 end exponent space cross times space 3 squared$
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$equals 25 over 4$