Finite Math Examples

$\frac{6^{- 1} g^{- 2}}{{(6 g)}^{2}}$

Step 1

Raise to zero.

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Step 1.1

Move $6^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{g^{- 2}}{{(6 g)}^{2} \cdot 6}$

Step 1.2

Move $g^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(6 g)}^{2} \cdot 6 g^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $6 g$ .

$\frac{1}{6^{2} g^{2} \cdot 6 g^{2}}$

Step 2.2

Combine exponents.

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Step 2.2.1

Raise $6$ to the power of $1$ .

$\frac{1}{6^{1} \cdot 6^{2} g^{2} g^{2}}$

Step 2.2.2

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

$\frac{1}{6^{1 + 2} g^{2} g^{2}}$

Step 2.2.3

Add $1$ and $2$ .

$\frac{1}{6^{3} g^{2} g^{2}}$

Step 2.2.4

Multiply $g^{2}$ by $g^{2}$ by adding the exponents.

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Step 2.2.4.1

Move $g^{2}$ .

$\frac{1}{6^{3} (g^{2} g^{2})}$

Step 2.2.4.2

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

$\frac{1}{6^{3} g^{2 + 2}}$

Step 2.2.4.3

Add $2$ and $2$ .

$\frac{1}{6^{3} g^{4}}$

Step 2.3

Raise $6$ to the power of $3$ .

$\frac{1}{216 g^{4}}$