How do you simplify $\frac{r^{3} t^{- 1} x^{- 5}}{t x^{5}}$ $(r^3t^-1x^-5)/(tx^5)$ ?

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How do you simplify $\frac{r^{3} t^{- 1} x^{- 5}}{t x^{5}}$ $(r^3t^-1x^-5)/(tx^5)$ ?

1 Answer

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Answer 1 · 2016-11-07T11:25:15

$\frac{r^{3}}{t^{2} x^{10}}$ $r^3/(t^2x^10)$

Explanation:

There are many different laws of indices. the 2 you need here are:

$x^{- m} = \frac{1}{x^{m}} and x^{m} \times x^{n} = x^{m + n}$ $x^-m = 1/x^m" " and x^m xx x^n = x^(m+n)$

I like to get rid of any negative indices first.

$\frac{r^{3} t^{- 1} x^{- 5}}{t x^{5}} = \frac{r^{3}}{t \cdot t x^{5} x^{5}}$ $(r^3color(blue)( t^-1)color(red)(x^-5))/(tx^5) = (r^3)/(color(blue)t*tx^5color(red)(x^5))$

= $\frac{r^{3}}{t^{2} x^{10}}$ $r^3/(t^2x^10)$

All the bases are different so there is no further simplifying possible.

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How do you simplify $\frac{r^{3} t^{- 1} x^{- 5}}{t x^{5}}$ $(r^3t^-1x^-5)/(tx^5)$ ?

1 Answer

Explanation:

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How do you simplify (r^3t^-1x^-5)/(tx^5)r3t−1x−5tx5(r^3t^-1x^-5)/(tx^5)?

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Explanation:

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How do you simplify $\frac{r^{3} t^{- 1} x^{- 5}}{t x^{5}}$ $(r^3t^-1x^-5)/(tx^5)$ ?