How do you simplify $2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$ $2x^3y^-3*2x^-1y^3$ and write it using only positive exponents?

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How do you simplify $2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$ $2x^3y^-3*2x^-1y^3$ and write it using only positive exponents?

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Answer 1 · 2017-10-09T19:32:47

$\frac{2 x^{3} y^{3}}{2 x y^{3}}$ $(2x^3y^3)/(2xy^3)$

Explanation:

anything to a negative exponent means it's really $\frac{1}{number}$ $1/"number"$
therefore:
$\frac{2 x^{3}}{y^{3}} \cdot \frac{y^{3}}{2 x}$ $(2x^3)/y^3*y^3/(2x)$

Fractions multiply top $\times$ $times$ top, bottom $\times$ $times$ bottom

$\frac{2 x^{3} \cdot y^{3}}{2 x \cdot y^{3}}$ $(2x^3*y^3)/(2x*y^3)$

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How do you simplify $2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$ $2x^3y^-3*2x^-1y^3$ and write it using only positive exponents?

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How do you simplify $2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$ $2x^3y^-3*2x^-1y^3$ and write it using only positive exponents?