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    Solve the following:​(243)2÷(27)2×16÷8=?(243)^2÷(27)^2×16÷8=?(243)2÷(27)2×16÷8=?​​
    Question

    Solve the following:

    (243)2÷(27)2×16÷8=?(243)^2÷(27)^2×16÷8=?​​

    A.

    162

    B.

    70

    C.

    1

    D.

    81

    Correct option is A

    Given:

    (243)2÷(27)2×16÷8(243)^2÷(27)^2×16÷8

    Concept Used:

    Operation preference wiseSymbolBrackets[],,()Orders, ofx(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & ^x(power), √ (root) , of \\ \hline \text{Division}& ÷ \\\hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}

    Solution:

    (243)2÷(27)2×16÷8(243)^2÷(27)^2×16÷8

    =(24327)2×2\left( \frac{243}{27} \right)^2 \times 2

    = 9×2 \times 2

    =81×2=16281 \times 2 =162​​

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