What is (-20r^5s^4)/(16rs^8) ?

The solution to (-20r^5s^4)/(16rs^8) is -(5r^4)/(4s^4)

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simplify (-20r^5s^4)/(16rs^8)

simplify

\frac{- 20 r ^{5} s ^{4}}{16 r s ^{8}}

- \frac{5 r ^{4}}{4 s ^{4}}

Solution steps

\frac{- 20 r ^{5} s ^{4}}{16 r s ^{8}}

Factor the number:

20 = 4 \cdot 5

= \frac{- 4 \cdot 5 r ^{5} s ^{4}}{16 r s ^{8}}

Factor the number:

16 = 4 \cdot 4

= \frac{- 4 \cdot 5 r ^{5} s ^{4}}{4 \cdot 4 r s ^{8}}

Cancel the common factor:

4

= \frac{- 5 r ^{5} s ^{4}}{4 r s ^{8}}

Simplify

\frac{r ^{5}}{r} : r^{4}

= \frac{- 5 r ^{4} s ^{4}}{4 s ^{8}}

Simplify

\frac{s ^{4}}{s ^{8}} : \frac{1}{s ^{4}}

= \frac{- 5 r ^{4}}{4 s ^{4}}

Apply the fraction rule:

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

= - \frac{5 r ^{4}}{4 s ^{4}}

1 < x \leq 3

3 x^{2} = 16 - 8 x

lo g_{3} (0.2)

37.7 = 2 π r

3 - 2 x > 7

What is (-20r^5s^4)/(16rs^8) ?
The solution to (-20r^5s^4)/(16rs^8) is -(5r^4)/(4s^4)