What is (3/4-sqrt(4/9))^1*(1/2-(sqrt(4))/3)^{-1} ?

The solution to (3/4-sqrt(4/9))^1*(1/2-(sqrt(4))/3)^{-1} is -1/2

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simplify (3/4-sqrt(4/9))^1*(1/2-(sqrt(4))/3)^{-1}

simplify

(\frac{3}{4} - \frac{4}{9})^{1} \cdot (\frac{1}{2} - \frac{4}{3})^{- 1}

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

(\frac{3}{4} - \frac{4}{9})^{1} (\frac{1}{2} - \frac{4}{3})^{- 1}

(\frac{3}{4} - \frac{4}{9})^{1} = \frac{1}{12}

= \frac{1}{12} (\frac{1}{2} - \frac{4}{3})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(\frac{1}{2} - \frac{4}{3})^{- 1} = \frac{1}{\frac{1}{2} - \frac{4}{3}}

= \frac{1}{12} \cdot \frac{1}{\frac{1}{2} - \frac{4}{3}}

\frac{1}{\frac{1}{2} - \frac{4}{3}} = - 6

= \frac{1}{12} (- 6)

Apply rule:

a (- b) = - ab

\frac{1}{12} (- 6) = - \frac{1}{12} \cdot 6

= - \frac{1}{12} \cdot 6

- \frac{1}{12} \cdot 6 = - \frac{1}{2}

= - \frac{1}{2}

(3 x 1 0^{3}) (5.5 x 1 0^{2})

4.73 \cdot 1 0^{- 6}

e^{- 7 (0)}

4.1 \cdot 1 0^{- 2}

(1 - x)^{3}

What is (3/4-sqrt(4/9))^1*(1/2-(sqrt(4))/3)^{-1} ?
The solution to (3/4-sqrt(4/9))^1*(1/2-(sqrt(4))/3)^{-1} is -1/2