Basic Math Examples

$\frac{4 r^{4} s^{5}}{24 r^{4} s^{- 5}}$

Step 1

Move $s^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{4 r^{4} s^{5} s^{5}}{24 r^{4}}$

Step 2

Multiply $s^{5}$ by $s^{5}$ by adding the exponents.

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Step 2.1

Move $s^{5}$ .

$\frac{4 r^{4} (s^{5} s^{5})}{24 r^{4}}$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{4 r^{4} s^{5 + 5}}{24 r^{4}}$

Step 2.3

Add $5$ and $5$ .

$\frac{4 r^{4} s^{10}}{24 r^{4}}$

Step 3

Cancel the common factor of $4$ and $24$ .

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Step 3.1

Factor $4$ out of $4 r^{4} s^{10}$ .

$\frac{4 (r^{4} s^{10})}{24 r^{4}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $24 r^{4}$ .

$\frac{4 (r^{4} s^{10})}{4 (6 r^{4})}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (r^{4} s^{10})}{4 (6 r^{4})}$

Step 3.2.3

Rewrite the expression.

$\frac{r^{4} s^{10}}{6 r^{4}}$

Step 4

Cancel the common factor of $r^{4}$ .

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Step 4.1

Cancel the common factor.

$\frac{r^{4} s^{10}}{6 r^{4}}$

Step 4.2

Rewrite the expression.

$\frac{s^{10}}{6}$