What is 5.46x^{-0.278} ?

The solution to 5.46x^{-0.278} is (273)/(50x^{0.278)}

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simplify 5.46x^{-0.278}

simplify

5.46 x^{- 0.278}

\frac{273}{50 x ^{0.278}}

Solution steps

5.46 x^{- 0.278}

Apply exponent rule:

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

x^{- 0.278} = \frac{1}{x ^{0.278}}

= 5.46 \cdot \frac{1}{x ^{0.278}}

Apply the fraction rule:

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

= \frac{5.46 \cdot 1}{x ^{0.278}}

Multiply the numbers:

5.46 \cdot 1 = 5.46

= \frac{5.46}{x ^{0.278}}

Simplify

\frac{5.46}{x ^{0.278}} : \frac{546}{100 x ^{0.278}}

= \frac{546}{100 x ^{0.278}}

Cancel

\frac{546}{100 x ^{0.278}} : \frac{273}{50 x ^{0.278}}

= \frac{273}{50 x ^{0.278}}

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