Finite Math Examples

$\frac{12^{\frac{10}{8}}}{12^{- \frac{3}{8}}}$

Step 1

Move $12^{- \frac{3}{8}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$12^{\frac{10}{8}} \cdot 12^{\frac{3}{8}}$

Step 2

Multiply $12^{\frac{10}{8}}$ by $12^{\frac{3}{8}}$ by adding the exponents.

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Step 2.1

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

$12^{\frac{10}{8} + \frac{3}{8}}$

Step 2.2

Combine the numerators over the common denominator.

$12^{\frac{10 + 3}{8}}$

Step 2.3

Add $10$ and $3$ .

$12^{\frac{13}{8}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$12^{\frac{13}{8}}$

Decimal Form:

$56.71128982 \dots$