Solve (r ^ 2)/(r ^ - 1) * (s ^ - 3)/(s ^ 5) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{r^{2}}{r^{-1}}\frac{s^{-3}}{s^{5}}$$

Evaluate

$\frac{r^{3}}{s^{8}}$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $-1$ from $2$ to get $3$.

$$r^{3}\times \frac{s^{-3}}{s^{5}}$$

Rewrite $s^{5}$ as $s^{-3}s^{8}$. Cancel out $s^{-3}$ in both numerator and denominator.

$$r^{3}\times \frac{1}{s^{8}}$$

Express $r^{3}\times \frac{1}{s^{8}}$ as a single fraction.

$$\frac{r^{3}}{s^{8}}$$

Differentiate w.r.t. r

$\frac{3r^{2}}{s^{8}}$