What is sqrt((x-4/9)^3) ?

The solution to sqrt((x-4/9)^3) is ((9x-4)^{3/2})/(27)

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simplify sqrt((x-4/9)^3)

simplify

(x - \frac{4}{9})^{3}

\frac{( 9 x - 4 ) ^{\frac{3}{2}}}{27}

Solution steps

(x - \frac{4}{9})^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

3 \cdot \frac{1}{2} = \frac{3}{2}

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

Join

x - \frac{4}{9} : \frac{9 x - 4}{9}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

9^{\frac{3}{2}} = 27

= \frac{( 9 x - 4 ) ^{\frac{3}{2}}}{27}

(12.3 \cdot 1 0^{8}) (1.06 \cdot 1 0^{- 7})

((x + 2) (x - 2))^{\frac{1}{2}}

\frac{e ^{(- 1.1) (27)}}{e ^{(- 1.1) (1.5)^{3}}}

1.0 5^{- 25} \frac{600000}{0.05}

e^{(- 0.12)} \cdot (0.601 \cdot 0.49 + (1 - 0.601) \cdot 3)

What is sqrt((x-4/9)^3) ?
The solution to sqrt((x-4/9)^3) is ((9x-4)^{3/2})/(27)