What is (0.5x^{-4})(0.5x) ?

The solution to (0.5x^{-4})(0.5x) is 1/(4x^3)

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simplify (0.5x^{-4})(0.5x)

simplify

(0.5 x^{- 4}) (0.5 x)

\frac{1}{4 x ^{3}}

Solution steps

(0.5 x^{- 4}) (0.5 x)

Simplify

0.5 x^{- 4} : \frac{1}{2 x ^{4}}

= \frac{1}{2 x ^{4}} \cdot 0.5 x

Apply the fraction rule:

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

= \frac{1 \cdot 0.5 x}{2 x ^{4}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5 x}{2 x ^{4}}

Simplify

\frac{x}{x ^{4}} : \frac{1}{x ^{3}}

= \frac{0.5}{2 x ^{3}}

Simplify

\frac{0.5}{2 x ^{3}} : \frac{5}{20 x ^{3}}

= \frac{5}{20 x ^{3}}

Cancel the numbers:

\frac{5}{20} = \frac{1}{4}

= \frac{1}{4 x ^{3}}

\frac{45}{2} (e^{- 4 (3)})

e^{- 6} (\frac{6 ^{7}}{7 !})

5.75 \cdot 1 0^{- 3}

8 x^{3} (4 x^{4})

x + 3 x + 1