Question

[(1 /2)^-1 + (2/3 )^2 - (3/4^0)]-2 is equal to:​

Answer 1

Answer:

-119/36

Step-by-step explanation:

Our equation is....

$= ({ \frac{1}{2}}^{2} - 1 + { \frac{2}{3} }^{2} - { \frac{3}{4} }^{0} ) - 2 \\ = ( \frac{1}{4} - 1 + \frac{4}{9} - 1) - 2 \\ = (\frac{25}{36} - 2) - 2 \\ = (\frac{25 - 72}{36} )- 2 \\ = \frac{25 - 72 - 72}{36} \\ = \frac{25 - 144}{36} \\ = \frac{ - 119}{36}$

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Answer 2

Prime factorization: 306 = 2 x 3 x 3 x 17, which can be written 306 = 2 x 3² x 17.