Basic Math Examples

$\frac{14 f^{- 3} g^{2} h^{- 7}}{21 k^{3}}$

Step 1

Simplify.

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Step 1.1

Move $f^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{14 g^{2} h^{- 7}}{21 k^{3} f^{3}}$

Step 1.2

Move $h^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{14 g^{2}}{21 k^{3} f^{3} h^{7}}$

Step 2

Cancel the common factor of $14$ and $21$ .

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Step 2.1

Factor $7$ out of $14 g^{2}$ .

$\frac{7 (2 g^{2})}{21 k^{3} f^{3} h^{7}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $7$ out of $21 k^{3} f^{3} h^{7}$ .

$\frac{7 (2 g^{2})}{7 (3 k^{3} f^{3} h^{7})}$

Step 2.2.2

Cancel the common factor.

$\frac{7 (2 g^{2})}{7 (3 k^{3} f^{3} h^{7})}$

Step 2.2.3

Rewrite the expression.

$\frac{2 g^{2}}{3 k^{3} f^{3} h^{7}}$