What is 100y^{0.33}*0.67x^{-0.33} ?

The solution to 100y^{0.33}*0.67x^{-0.33} is (67y^{0.33})/(x^{0.33)}

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simplify 100y^{0.33}*0.67x^{-0.33}

simplify

100 y^{0.33} \cdot 0.67 x^{- 0.33}

\frac{67 y ^{0.33}}{x ^{0.33}}

Solution steps

100 y^{0.33} \cdot 0.67 x^{- 0.33}

Multiply the numbers:

100 \cdot 0.67 = 67

= 67 y^{0.33} x^{- 0.33}

Apply exponent rule:

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

x^{- 0.33} = \frac{1}{x ^{0.33}}

= 67 y^{0.33} \frac{1}{x ^{0.33}}

Apply the fraction rule:

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

= \frac{67 y ^{0.33} \cdot 1}{x ^{0.33}}

Multiply the numbers:

67 \cdot 1 = 67

= \frac{67 y ^{0.33}}{x ^{0.33}}

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What is 100y^{0.33}*0.67x^{-0.33} ?
The solution to 100y^{0.33}*0.67x^{-0.33} is (67y^{0.33})/(x^{0.33)}