Basic Math Examples

$s^{\frac{17}{12}} \cdot s^{- 14}$

Step 1

Multiply $s^{\frac{17}{12}}$ by $s^{- 14}$ by adding the exponents.

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Step 1.1

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

$s^{\frac{17}{12} - 14}$

Step 1.2

To write $- 14$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$s^{\frac{17}{12} - 14 \cdot \frac{12}{12}}$

Step 1.3

Combine $- 14$ and $\frac{12}{12}$ .

$s^{\frac{17}{12} + \frac{- 14 \cdot 12}{12}}$

Step 1.4

Combine the numerators over the common denominator.

$s^{\frac{17 - 14 \cdot 12}{12}}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $- 14$ by $12$ .

$s^{\frac{17 - 168}{12}}$

Step 1.5.2

Subtract $168$ from $17$ .

$s^{\frac{- 151}{12}}$

Step 1.6

Move the negative in front of the fraction.

$s^{- \frac{151}{12}}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{s^{\frac{151}{12}}}$