What is ((2/5)^4)/((-1/3)^9(3/5)^4) ?

The solution to ((2/5)^4)/((-1/3)^9(3/5)^4) is -3888

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simplify ((2/5)^4)/((-1/3)^9(3/5)^4)

simplify

\frac{( \frac{2}{5} ) ^{4}}{( - \frac{1}{3} ) ^{9} ( \frac{3}{5} ) ^{4}}

- 3888

Solution steps

\frac{( \frac{2}{5} ) ^{4}}{( - \frac{1}{3} ) ^{9} ( \frac{3}{5} ) ^{4}}

(\frac{2}{5})^{4} = \frac{16}{625}

= \frac{\frac{16}{625}}{( - \frac{1}{3} ) ^{9} ( \frac{3}{5} ) ^{4}}

Simplify

(- \frac{1}{3})^{9} (\frac{3}{5})^{4} : - \frac{1}{151875}

= \frac{\frac{16}{625}}{- \frac{1}{151875}}

Apply the fraction rule:

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

= - \frac{\frac{16}{625}}{\frac{1}{151875}}

Apply the fraction rule:

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

\frac{\frac{16}{625}}{\frac{1}{151875}} = \frac{16 \cdot 151875}{625 \cdot 1}

= - \frac{16 \cdot 151875}{625 \cdot 1}

Cancel

- \frac{16 \cdot 151875}{625 \cdot 1} : - 3888

= - 3888

\frac{1}{4 3}

3 + (- 7)

33 = 2 x + 17

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

\frac{( 1 + 2 i )}{3 + 4 i}

What is ((2/5)^4)/((-1/3)^9(3/5)^4) ?
The solution to ((2/5)^4)/((-1/3)^9(3/5)^4) is -3888