What is (2(4/3))/(1-(4/3)^2) ?

The solution to (2(4/3))/(1-(4/3)^2) is -24/7

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simplify (2(4/3))/(1-(4/3)^2)

simplify

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

- \frac{24}{7}

Decimal Notation

- 3.42857 \dots

Solution steps

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

Apply rule:

(a) = a

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

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

2 \cdot \frac{4}{3} = \frac{8}{3}

= \frac{\frac{8}{3}}{1 - ( \frac{4}{3} ) ^{2}}

Simplify

1 - (\frac{4}{3})^{2} : - \frac{7}{9}

= \frac{\frac{8}{3}}{- \frac{7}{9}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{8}{3}}{\frac{7}{9}}

Apply the fraction rule:

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

\frac{\frac{8}{3}}{\frac{7}{9}} = \frac{8 \cdot 9}{3 \cdot 7}

= - \frac{8 \cdot 9}{3 \cdot 7}

Cancel

- \frac{8 \cdot 9}{3 \cdot 7} : - \frac{24}{7}

= - \frac{24}{7}

\frac{1}{3} + 4

x^{2} + 484 = 0

2. 8^{2}

\frac{0.00019}{1.25} = \frac{x}{0.75}

∣ 2 x - 5 ∣ = 10