How do you simplify and write $\frac{x^{2}}{y^{- 4}}$ $x^2/y^-4$ with positive exponents?

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How do you simplify and write $\frac{x^{2}}{y^{- 4}}$ $x^2/y^-4$ with positive exponents?

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Answer 1 · 2018-06-26T01:03:20

The simplified expression is $x^{2} y^{4}$ $x^2y^4$ . Since $\frac{1}{a^{- b}} = a^{b}$ $1/a^-b=a^b$ , we just have to remove the denominator by using that rule:

$\frac{x^{2}}{y^{- 4}} = x^{2} \cdot y^{4} = x^{2} y^{4}$ $x^2/y^-4=x^2*y^4=x^2y^4$

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How do you simplify and write $\frac{x^{2}}{y^{- 4}}$ $x^2/y^-4$ with positive exponents?

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