Basic Math Examples

$\frac{15 s^{- 4}}{5 s^{- 8}}$

Step 1

Move $s^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{15 s^{- 4} s^{8}}{5}$

Step 2

Multiply $s^{- 4}$ by $s^{8}$ by adding the exponents.

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Step 2.1

Move $s^{8}$ .

$\frac{15 (s^{8} s^{- 4})}{5}$

Step 2.2

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

$\frac{15 s^{8 - 4}}{5}$

Step 2.3

Subtract $4$ from $8$ .

$\frac{15 s^{4}}{5}$

Step 3

Cancel the common factor of $15$ and $5$ .

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Step 3.1

Factor $5$ out of $15 s^{4}$ .

$\frac{5 (3 s^{4})}{5}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $5$ .

$\frac{5 (3 s^{4})}{5 (1)}$

Step 3.2.2

Cancel the common factor.

$\frac{5 (3 s^{4})}{5 \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{3 s^{4}}{1}$

Step 3.2.4

Divide $3 s^{4}$ by $1$ .

$3 s^{4}$