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

The solution to (1/3)^4((-1)/2)^{-4}(1/9)^3 is 16/59049

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simplify (1/3)^4((-1)/2)^{-4}(1/9)^3

simplify

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

\frac{16}{59049}

Decimal

0.00027 \dots

Solution steps

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

(\frac{1}{3})^{4} (\frac{1}{9})^{3} = \frac{1}{59049}

= \frac{1}{59049} (\frac{- 1}{2})^{- 4}

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

= 2^{4} \cdot \frac{1}{59049}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{4}}{59049}

Multiply:

1 \cdot 2^{4} = 2^{4}

= \frac{2 ^{4}}{59049}

2^{4} = 16

= \frac{16}{59049}

p^{2} - 6 - q \cdot (p^{2} - 6)

\frac{12}{5} = 6 x

7 (2 e - 1) - 11 = 6 + 6 e

(3 n - 2) (4 n + 1) = 0

2 x \cdot 4 x^{\frac{- 5}{2}}

What is (1/3)^4((-1)/2)^{-4}(1/9)^3 ?
The solution to (1/3)^4((-1)/2)^{-4}(1/9)^3 is 16/59049