What is (5s^{15}t^6)/(-10s^{12)t} ?

The solution to (5s^{15}t^6)/(-10s^{12)t} is -(s^3t^5)/2

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simplify (5s^{15}t^6)/(-10s^{12)t}

simplify

\frac{5 s ^{15} t ^{6}}{- 10 s ^{12} t}

- \frac{s ^{3} t ^{5}}{2}

Solution steps

\frac{5 s ^{15} t ^{6}}{- 10 s ^{12} t}

Factor the number:

10 = 5 \cdot 2

= \frac{5 s ^{15} t ^{6}}{- 5 \cdot 2 s ^{12} t}

Cancel the common factor:

5

= \frac{s ^{15} t ^{6}}{- 2 s ^{12} t}

Simplify

\frac{s ^{15}}{s ^{12}} : s^{3}

= \frac{s ^{3} t ^{6}}{- 2 t}

Simplify

\frac{t ^{6}}{t} : t^{5}

= \frac{s ^{3} t ^{5}}{- 2}

Apply the fraction rule:

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

= - \frac{s ^{3} t ^{5}}{2}

2 x^{2} + 19 x + 42

10 \times \frac{1}{5}

17 \times 7

cos (x) \times 1 + sin (x) \times 0

\frac{1 + 2 i}{7 + 2 i}

What is (5s^{15}t^6)/(-10s^{12)t} ?
The solution to (5s^{15}t^6)/(-10s^{12)t} is -(s^3t^5)/2