What is simplify-0.12x^{-4} ?

The solution to simplify-0.12x^{-4} is -3/(25x^4)

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simplify-0.12x^{-4}

simplify

- 0.12 x^{- 4}

- \frac{3}{25 x ^{4}}

Solution steps

- 0.12 x^{- 4}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= - 0.12 \cdot \frac{1}{x ^{4}}

Apply the fraction rule:

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

= - \frac{0.12 \cdot 1}{x ^{4}}

Multiply the numbers:

0.12 \cdot 1 = 0.12

= - \frac{0.12}{x ^{4}}

Simplify

\frac{0.12}{x ^{4}} : \frac{12}{100 x ^{4}}

= - \frac{12}{100 x ^{4}}

Cancel

- \frac{12}{100 x ^{4}} : - \frac{3}{25 x ^{4}}

= - \frac{3}{25 x ^{4}}

e^{- 2 x} (\frac{x}{2} e^{2 x} - \frac{1}{4} e^{2 x})

13 e^{- 0.2 t}

600 e^{- 0.69}

1800 (1 + \frac{0.16}{2})^{- 4}

\frac{1}{2} (21 \cdot 1 0^{3} \cdot 0.1963 \cdot 10) (\frac{0.13}{10})^{2}