Question

Which expression is equivalent to (3/4)^-2 16/9 −9/16 9/16 −6/8

Answer 1

The correct answer is: [A]: " $\frac{16}{9}$ " .

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Explanation:

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To solve:

(3/4)⁻² = 1 / (3/4)² ;

Note:

(3/4)² = 3² / 4² = 9/16 ;

→ 1 / (3/4)² = 1 / (9/16) ;

→ 1 ÷ $\frac{9}{16}$ =

$\frac{1}{1}$ ÷ $\frac{9}{16}$ =

$\frac{1}{1}$ * $\frac{16}{9}$ =

1 * $\frac{16}{9}$ =

$\frac{16}{9}$ ;

→ which is: Answer choice: [A]: " $\frac{16}{9}$ " .

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