The value of the expression ${((2)^{2})}^{2}$ × ( $3^{3}$ ÷ $4^{2}$ ) ÷ $3^{2}$ is equal to:

True

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False

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\frac{13}{3}

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Solution

The correct option is A
True

${((2)^{2})}^{2}$ × ( $3^{3}$ ÷ $4^{2}$ ) ÷ $3^{2}$
= $4^{2}$ × $\frac{27}{16}$ × $\frac{1}{9}$
= 16 × $\frac{27}{16}$ × $\frac{1}{9}$
= $\frac{27}{9}$
= 3

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