What is (4/3)^3-4(4/3)^2-3(4/3)+6 ?

The solution to (4/3)^3-4(4/3)^2-3(4/3)+6 is -74/27

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simplify (4/3)^3-4(4/3)^2-3(4/3)+6

simplify

(\frac{4}{3})^{3} - 4 (\frac{4}{3})^{2} - 3 (\frac{4}{3}) + 6

- \frac{74}{27}

Decimal Notation

- 2.74074 \dots

Solution steps

(\frac{4}{3})^{3} - 4 (\frac{4}{3})^{2} - 3 (\frac{4}{3}) + 6

Apply rule:

(a) = a

(\frac{4}{3}) = \frac{4}{3}

= (\frac{4}{3})^{3} - 4 (\frac{4}{3})^{2} - 3 \cdot \frac{4}{3} + 6

(\frac{4}{3})^{3} = \frac{64}{27}

(\frac{4}{3})^{2} = \frac{16}{9}

3 \cdot \frac{4}{3} = \frac{4}{1}

= \frac{64}{27} - 4 \cdot \frac{16}{9} - \frac{4}{1} + 6

\frac{64}{27} - 4 \cdot \frac{16}{9} - \frac{4}{1} + 6 = - \frac{74}{27}

= - \frac{74}{27}

x^{5} - 25 x^{3} + x^{2} - 25

6 x + 6 x

6 x - 4 x

(\frac{- 1}{3})^{3}

75 x^{5}

What is (4/3)^3-4(4/3)^2-3(4/3)+6 ?
The solution to (4/3)^3-4(4/3)^2-3(4/3)+6 is -74/27