How do you write $x^{3} y^{- 5}$ $x^3 y^-5$ with a postive exponent?

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How do you write $x^{3} y^{- 5}$ $x^3 y^-5$ with a postive exponent?

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Answer 1 · 2015-09-07T15:03:10

$\frac{x^{3}}{y^{5}}$ $x^3/y^5$

Explanation:

Recall that:

$\frac{1}{a^{n}} = a^{- n}$ $1/a^n = a^-n$

This means that $y^{- 5} = \frac{1}{y^{5}}$ $y^-5 = 1/y^5$ .

Thus:
$x^{3} y^{- 5}$ $x^3y^-5$
$= x^{3} \cdot \frac{1}{y^{5}}$ $=x^3*1/y^5$
$= \frac{x^{3}}{y^{5}}$ $=x^3/y^5$

Answer 2 · 2015-09-08T18:46:41

Here we only have to apply 1 law of indices or exponents formula
i.e:
$x^{- n} = \frac{1}{x^{n}}$ $x^-n=1/x^n$

Explanation:

So now here we have $x^{3}$ $x^3$ $y^{- 5}$ $y^-5$ ,which can also be written as:
$\frac{x^{3}}{y^{5}}$ $x^3/y^5$ (answer)
(note- $y^{- 5}$ $y^-5$ is in the form of $x^{- n}$ $x^-n$ , so can be written in the form of $\frac{1}{x^{n}}$ $1/x^n$ i.e, $\frac{1}{y^{5}}$ $1/y^5$ ).
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I hope this helps :)

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How do you write $x^{3} y^{- 5}$ $x^3 y^-5$ with a postive exponent?

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