What is (x/3)^3(9x)^{-2} ?

The solution to (x/3)^3(9x)^{-2} is x/(2187)

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simplify (x/3)^3(9x)^{-2}

simplify

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

\frac{x}{2187}

Solution steps

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

Simplify

(\frac{x}{3})^{3} : \frac{x ^{3}}{27}

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

Simplify

(9 x)^{- 2} : \frac{1}{81 x ^{2}}

= \frac{x ^{3}}{27} \cdot \frac{1}{81 x ^{2}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{x ^{3} \cdot 1}{27 \cdot 81 x ^{2}}

Apply rule:

a \cdot 1 = a

x^{3} \cdot 1 = x^{3}

= \frac{x ^{3}}{27 \cdot 81 x ^{2}}

Simplify

\frac{x ^{3}}{x ^{2}} : x

= \frac{x}{27 \cdot 81}

Multiply the numbers:

27 \cdot 81 = 2187

= \frac{x}{2187}

(\frac{8}{3})^{2}

56 - 27 b - 18 b^{2}

- 4 x^{2} + 16 x = 23

5 x^{2} - 11 x - 12 = 0

(x - 2)^{2} + 3 (x - 2) - 18 = 0